Proving the equivalence of c-extremization and its gravitational dual for all toric quivers
A bstract The gravitational dual of c -extremization for a class of (0 , 2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories living at a toric Calabi-Yau three-fold has been recently proposed. The equivalence of this construction with c -extremization has bee...
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| Published in | The journal of high energy physics Vol. 2019; no. 3; pp. 1 - 34 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.03.2019
Springer Nature B.V SpringerOpen |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1029-8479 1126-6708 1127-2236 1029-8479 |
| DOI | 10.1007/JHEP03(2019)108 |
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| Abstract | A
bstract
The gravitational dual of
c
-extremization for a class of (0
,
2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories living at a toric Calabi-Yau three-fold has been recently proposed. The equivalence of this construction with
c
-extremization has been checked in various examples and holds also off-shell. In this note we prove that such equivalence holds for an arbitrary toric Calabi-Yau. We do it by generalizing the proof of the equivalence between
a
-maximization and volume minimization for four-dimensional toric quivers. By an explicit parameterization of the R-charges we map the trial right-moving central charge
c
r
into the off-shell functional to be extremized in gravity. We also observe that the similar construction for M2-branes on ℂ
4
is equivalent to the ℐ-extremization principle that leads to the microscopic counting for the entropy of magnetically charged black holes in AdS
4
×
S
7
. Also this equivalence holds off-shell. |
|---|---|
| AbstractList | Abstract The gravitational dual of c-extremization for a class of (0, 2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories living at a toric Calabi-Yau three-fold has been recently proposed. The equivalence of this construction with c-extremization has been checked in various examples and holds also off-shell. In this note we prove that such equivalence holds for an arbitrary toric Calabi-Yau. We do it by generalizing the proof of the equivalence between a-maximization and volume minimization for four-dimensional toric quivers. By an explicit parameterization of the R-charges we map the trial right-moving central charge c r into the off-shell functional to be extremized in gravity. We also observe that the similar construction for M2-branes on ℂ4 is equivalent to the ℐ-extremization principle that leads to the microscopic counting for the entropy of magnetically charged black holes in AdS4 × S 7. Also this equivalence holds off-shell. The gravitational dual of c-extremization for a class of (0, 2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories living at a toric Calabi-Yau three-fold has been recently proposed. The equivalence of this construction with c-extremization has been checked in various examples and holds also off-shell. In this note we prove that such equivalence holds for an arbitrary toric Calabi-Yau. We do it by generalizing the proof of the equivalence between a-maximization and volume minimization for four-dimensional toric quivers. By an explicit parameterization of the R-charges we map the trial right-moving central charge cr into the off-shell functional to be extremized in gravity. We also observe that the similar construction for M2-branes on ℂ4 is equivalent to the ℐ-extremization principle that leads to the microscopic counting for the entropy of magnetically charged black holes in AdS4 × S7. Also this equivalence holds off-shell. The gravitational dual of c -extremization for a class of (0 , 2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories living at a toric Calabi-Yau three-fold has been recently proposed. The equivalence of this construction with c -extremization has been checked in various examples and holds also off-shell. In this note we prove that such equivalence holds for an arbitrary toric Calabi-Yau. We do it by generalizing the proof of the equivalence between a -maximization and volume minimization for four-dimensional toric quivers. By an explicit parameterization of the R-charges we map the trial right-moving central charge c r into the off-shell functional to be extremized in gravity. We also observe that the similar construction for M2-branes on ℂ 4 is equivalent to the ℐ-extremization principle that leads to the microscopic counting for the entropy of magnetically charged black holes in AdS 4 × S 7 . Also this equivalence holds off-shell. A bstract The gravitational dual of c -extremization for a class of (0 , 2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories living at a toric Calabi-Yau three-fold has been recently proposed. The equivalence of this construction with c -extremization has been checked in various examples and holds also off-shell. In this note we prove that such equivalence holds for an arbitrary toric Calabi-Yau. We do it by generalizing the proof of the equivalence between a -maximization and volume minimization for four-dimensional toric quivers. By an explicit parameterization of the R-charges we map the trial right-moving central charge c r into the off-shell functional to be extremized in gravity. We also observe that the similar construction for M2-branes on ℂ 4 is equivalent to the ℐ-extremization principle that leads to the microscopic counting for the entropy of magnetically charged black holes in AdS 4 × S 7 . Also this equivalence holds off-shell. |
| ArticleNumber | 108 |
| Author | Zaffaroni, Alberto Hosseini, Seyed Morteza |
| Author_xml | – sequence: 1 givenname: Seyed Morteza orcidid: 0000-0001-8205-400X surname: Hosseini fullname: Hosseini, Seyed Morteza email: morteza.hosseini@ipmu.jp organization: Kavli IPMU (WPI), UTIAS, The University of Tokyo – sequence: 2 givenname: Alberto orcidid: 0000-0001-8938-7587 surname: Zaffaroni fullname: Zaffaroni, Alberto organization: Dipartimento di Fisica, Università di Milano-Bicocca, INFN, sezione di Milano-Bicocca |
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| Cites_doi | 10.1007/JHEP03(2011)037 10.1007/JHEP07(2015)127 10.1007/JHEP05(2016)054 10.1007/JHEP02(2018)054 10.1007/JHEP07(2016)020 10.1007/JHEP06(2013)005 10.1016/j.nuclphysb.2018.01.025 10.1007/JHEP06(2017)056 10.1007/JHEP04(2011)047 10.1088/1126-6708/2006/03/068 10.1088/1126-6708/2006/01/128 10.1103/PhysRevD.58.125025 10.1016/j.nuclphysb.2005.11.010 10.1007/JHEP01(2014)089 10.1088/1126-6708/2005/06/064 10.4310/ATMP.2006.v10.n3.a4 10.1007/JHEP01(2010)085 10.1103/PhysRevLett.110.061601 10.1088/1126-6708/2005/11/019 10.1007/JHEP12(2012)018 10.1007/JHEP06(2011)102 10.1088/1126-6708/2006/04/033 10.1007/JHEP08(2016)064 10.1007/JHEP04(2017)014 10.1007/JHEP06(2018)008 10.1103/PhysRevLett.95.071101 10.1088/1126-6708/1998/07/023 10.1007/JHEP01(2019)204 10.1007/JHEP11(2018)119 10.1007/JHEP06(2012)005 10.1103/PhysRevD.83.046001 10.1007/s00220-008-0479-4 10.1016/j.physletb.2017.05.076 10.1088/1126-6708/2009/03/012 10.1007/JHEP08(2016)089 10.1103/PhysRevLett.105.141601 10.1007/JHEP01(2019)212 10.1088/1126-6708/2005/09/018 10.1103/PhysRevD.85.121901 10.4310/ATMP.1999.v3.n1.a1 10.4310/ATMP.1998.v2.n6.a2 10.1002/prop.200510276 10.1007/JHEP08(2016)059 10.1103/PhysRevD.59.025006 10.1007/JHEP07(2017)040 10.1007/s00220-005-1425-3 10.1007/s00220-006-0087-0 10.1088/1126-6708/2006/01/096 10.4310/ATMP.2008.v12.n3.a2 10.1088/1126-6708/2008/10/091 10.1016/S0550-3213(03)00459-0 10.1103/PhysRevD.87.101902 10.4310/ATMP.2004.v8.n4.a3 10.4310/ATMP.2004.v8.n6.a3 10.1016/S0550-3213(98)00654-3 |
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| References | FengBHeY-HKennawayKDVafaCDimer models from mirror symmetry and quivering amoebaeAdv. Theor. Math. Phys.200812489239931810.4310/ATMP.2008.v12.n3.a21144.81501[hep-th/0511287] [INSPIRE] M. Cvetič, H. Lü, D.N. Page and C.N. Pope, New Einstein-Sasaki spaces in five and higher dimensions, Phys. Rev. Lett.95 (2005) 071101 [hep-th/0504225] [INSPIRE]. ButtiAForcellaDZaffaroniAThe Dual superconformal theory for Lp, q, r manifoldsJHEP2005090182005JHEP...09..018B10.1088/1126-6708/2005/09/018[hep-th/0505220] [INSPIRE] G. Dall’Agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, JHEP03 (2011) 037 [arXiv:1012.3756] [INSPIRE]. LeeSReyS-JComments on anomalies and charges of toric-quiver dualsJHEP2006030682006JHEP...03..068L222296610.1088/1126-6708/2006/03/0681226.81209[hep-th/0601223] [INSPIRE] AcharyaBSFigueroa-O’FarrillJMHullCMSpenceBJBranes at conical singularities and holographyAdv. Theor. Math. Phys.199921249169362410.4310/ATMP.1998.v2.n6.a20948.83061[hep-th/9808014] [INSPIRE] A. Hanany and K.D. Kennaway, Dimer models and toric diagrams, hep-th/0503149 [INSPIRE]. BeniniFZaffaroniAA topologically twisted index for three-dimensional supersymmetric theoriesJHEP2015071272015JHEP...07..127B338308510.1007/JHEP07(2015)1271388.81400[arXiv:1504.03698] [INSPIRE] F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS4from supersymmetric localization, JHEP05 (2016) 054 [arXiv:1511.04085] [INSPIRE]. F. Azzurli, N. Bobev, P.M. Crichigno, V.S. Min and A. Zaffaroni, A universal counting of black hole microstates in AdS4, JHEP02 (2018) 054 [arXiv:1707.04257] [INSPIRE]. BahIBeemCBobevNWechtBFour-Dimensional SCFTs from M5-BranesJHEP2012060052012JHEP...06..005B300689810.1007/JHEP06(2012)0051397.81218[arXiv:1203.0303] [INSPIRE] S.M. Hosseini and A. Zaffaroni, Large N matrix models for 3dN=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=2 $$\end{document}theories: twisted index, free energy and black holes, JHEP08 (2016) 064 [arXiv:1604.03122] [INSPIRE]. ButtiAZaffaroniAR-charges from toric diagrams and the equivalence of a-maximization and Z-minimizationJHEP2005110192005JHEP...11..019B218755810.1088/1126-6708/2005/11/019[hep-th/0506232] [INSPIRE] F. Benini, K. Hristov and A. Zaffaroni, Exact microstate counting for dyonic black holes in AdS4, Phys. Lett.B 771 (2017) 462 [arXiv:1608.07294] [INSPIRE]. BenvenutiSPando ZayasLATachikawaYTriangle anomalies from Einstein manifoldsAdv. Theor. Math. Phys.200610395225027510.4310/ATMP.2006.v10.n3.a41129.81081[hep-th/0601054] [INSPIRE] S.M. Hosseini, A. Nedelin and A. Zaffaroni, The Cardy limit of the topologically twisted index and black strings in AdS5, JHEP04 (2017) 014 [arXiv:1611.09374] [INSPIRE]. SzepietowskiPComments on a-maximization from gauged supergravityJHEP2012120182012JHEP...12..018S304529710.1007/JHEP12(2012)0181397.83207[arXiv:1209.3025] [INSPIRE] C. Couzens, D. Martelli and S. Schäfer-Nameki, F-theory and AdS3/CF T2 (2, 0), JHEP06 (2018) 008 [arXiv:1712.07631] [INSPIRE]. GauntlettJPMartelliDSparksJToric geometry and the dual of c-extremizationJHEP2019012042019JHEP...01..204G10.1007/JHEP01(2019)20407035199[arXiv:1812.05597] [INSPIRE] C. Closset and H. Kim, Comments on twisted indices in 3d supersymmetric gauge theories, JHEP08 (2016) 059 [arXiv:1605.06531] [INSPIRE]. CouzensCGauntlettJPMartelliDSparksJA geometric dual of c-extremizationJHEP2019012122019JHEP...01..212C10.1007/JHEP01(2019)21207035207[arXiv:1810.11026] [INSPIRE] HananyAVeghDZaffaroniABrane Tilings and M2 BranesJHEP2009030122009JHEP...03..012H249570410.1088/1126-6708/2009/03/012[arXiv:0809.1440] [INSPIRE] A. Amariti, L. Cassia and S. Penati, c-extremization from toric geometry, Nucl. Phys.B 929 (2018) 137 [arXiv:1706.07752] [INSPIRE]. D.L. Jafferis, I.R. Klebanov, S.S. Pufu and B.R. Safdi, Towards the F-Theorem: N = 2 Field Theories on the Three-Sphere, JHEP06 (2011) 102 [arXiv:1103.1181] [INSPIRE]. GauntlettJPMartelliDSparksJFWaldramDA New infinite class of Sasaki-Einstein manifoldsAdv. Theor. Math. Phys.20048987219437310.4310/ATMP.2004.v8.n6.a31095.53034[hep-th/0403038] [INSPIRE] S.S. Gubser and I.R. Klebanov, Baryons and domain walls in an N = 1 superconformal gauge theory, Phys. Rev.D 58 (1998) 125025 [hep-th/9808075] [INSPIRE]. EagerREquivalence of A-Maximization and Volume MinimizationJHEP2014010892014JHEP...01..089E317166510.1007/JHEP01(2014)0891333.81324[arXiv:1011.1809] [INSPIRE] MartelliDSparksJToric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT dualsCommun. Math. Phys.2006262512006CMaPh.262...51M220088210.1007/s00220-005-1425-31112.53034[hep-th/0411238] [INSPIRE] Y. Tachikawa, Five-dimensional supergravity dual of a-maximization, Nucl. Phys.B 733 (2006) 188 [hep-th/0507057] [INSPIRE]. I.R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys.B 536 (1998) 199 [hep-th/9807080] [INSPIRE]. FrancoSHananyAMartelliDSparksJVeghDWechtBGauge theories from toric geometry and brane tilingsJHEP2006011282006JHEP...01..128F220120410.1088/1126-6708/2006/01/128[hep-th/0505211] [INSPIRE] P. Karndumri and E. O Colgain, Supergravity dual of c-extremization, Phys. Rev.D 87 (2013) 101902 [arXiv:1302.6532] [INSPIRE]. S.S. Gubser, Einstein manifolds and conformal field theories, Phys. Rev.D 59 (1999) 025006 [hep-th/9807164] [INSPIRE]. BeniniFZaffaroniASupersymmetric partition functions on Riemann surfacesProc. Symp. Pure Math.20179613375181206949422[arXiv:1605.06120] [INSPIRE] HosseiniSMYaakovIZaffaroniATopologically twisted indices in five dimensions and holographyJHEP2018111192018JHEP...11..119H10.1007/JHEP11(2018)1191404.81232[arXiv:1808.06626] [INSPIRE] K. Hristov and S. Vandoren, Static supersymmetric black holes in AdS4with spherical symmetry, JHEP04 (2011) 047 [arXiv:1012.4314] [INSPIRE]. BenvenutiSFrancoSHananyAMartelliDSparksJAn Infinite family of superconformal quiver gauge theories with Sasaki-Einstein dualsJHEP2005060642005JHEP...06..064B215830510.1088/1126-6708/2005/06/064[hep-th/0411264] [INSPIRE] BenvenutiSKruczenskiMFrom Sasaki-Einstein spaces to quivers via BPS geodesics: Lp, q|rJHEP2006040332006JHEP...04..033B10.1088/1126-6708/2006/04/033[hep-th/0505206] [INSPIRE] O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP10 (2008) 091 [arXiv:0806.1218] [INSPIRE]. J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S2 × S3, Adv. Theor. Math. Phys.8 (2004) 711 [hep-th/0403002] [INSPIRE]. HenningsonMSkenderisKThe Holographic Weyl anomalyJHEP1998070231998JHEP...07..023H164498810.1088/1126-6708/1998/07/0230958.81083[hep-th/9806087] [INSPIRE] AldayLFBeniniFTachikawaYLiouville/Toda central charges from M5-branesPhys. Rev. Lett.20101051416012010PhRvL.105n1601A272825510.1103/PhysRevLett.105.141601[arXiv:0909.4776] [INSPIRE] K.A. Intriligator and B. Wecht, The Exact superconformal R symmetry maximizes a, Nucl. Phys.B 667 (2003) 183 [hep-th/0304128] [INSPIRE]. HosseiniSMMekareeyaNLarge N topologically twisted index: necklace quivers, dualities and Sasaki-Einstein spacesJHEP2016080892016JHEP...08..089H355565310.1007/JHEP08(2016)0891390.81600[arXiv:1604.03397] [INSPIRE] AmaritiAToldoCBetti multiplets, flows across dimensions and c-extremizationJHEP2017070402017JHEP...07..040A368836010.1007/JHEP07(2017)0401380.81282[arXiv:1610.08858] [INSPIRE] I. Bah, C. Beem, N. Bobev and B. Wecht, AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces, Phys. Rev.D 85 (2012) 121901 [arXiv:1112.5487] [INSPIRE]. C.P. Herzog, I.R. Klebanov, S.S. Pufu and T. Tesileanu, Multi-Matrix Models and Tri-Sasaki Einstein Spaces, Phys. Rev.D 83 (2011) 046001 [arXiv:1011.5487] [INSPIRE]. BeniniFBobevNTwo-dimensional SCFTs from wrapped branes and c-extremizationJHEP2013060052013JHEP...06..005B10.1007/JHEP06(2013)0051390.83325[arXiv:1302.4451] [INSPIRE] D.R. Morrison and M.R. Plesser, Nonspherical horizons. 1., Adv. Theor. Math. Phys.3 (1999) 1 [hep-th/9810201] [INSPIRE]. A. Amariti, L. Cassia and S. Penati, Surveying 4d SCFTs twisted on Riemann surfaces, JHEP06 (2017) 056 [arXiv:1703.08201] [INSPIRE]. MartelliDSparksJYauS-TThe Geometric dual of a-maximisation for Toric Sasaki-Einstein manifoldsCommun. Math. Phys.2006268392006CMaPh.268...39M224979510.1007/s00220-006-0087-01190.53041[hep-th/0503183] [INSPIRE] MartelliDSparksJYauS-TSasaki-Einstein manifolds and volume minimisationCommun. Math. Phys.20082806112008CMaPh.280..611M239960910.1007/s00220-008-0479-41161.53029[hep-th/0603021] [INSPIRE] ButtiAZaffaroniAFrom toric geometry to quiver gauge theory: The Equivalence of a-maximization and Z-minimizationFortsch. Phys.2006543092006ForPh..54..309B223060010.1002/prop.2005102761090.81045[hep-th/0512240] [INSPIRE] S.L. Cacciatori and D. Klemm, Supersymmetric AdS4black holes and attractors, JHEP01 (2010) 085 [arXiv:0911.4926] [INSPIRE]. F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett.110 (2013) 061601 [arXiv:1211.4030] [INSPIRE]. FrancoSHananyAKennawayKDVeghDWechtBBrane dimers and quiver gauge theoriesJHEP2006010962006JHEP...01..096F220122710.1088/1126-6708/2006/01/096[hep-th/0504110] [INSPIRE] F. Benini, N. Bobev and P.M. Crichigno, Two-dimensional SCFTs from D3-branes, JHEP07 (2016) 020 [arXiv:1511.09462] [INSPIRE]. 10189_CR42 SM Hosseini (10189_CR41) 2018; 11 10189_CR44 10189_CR45 JP Gauntlett (10189_CR29) 2004; 8 JP Gauntlett (10189_CR13) 2019; 01 10189_CR40 P Szepietowski (10189_CR7) 2012; 12 A Amariti (10189_CR43) 2017; 07 10189_CR2 A Butti (10189_CR35) 2006; 54 10189_CR1 10189_CR38 10189_CR39 10189_CR6 A Hanany (10189_CR54) 2009; 03 S Benvenuti (10189_CR32) 2006; 04 10189_CR8 BS Acharya (10189_CR26) 1999; 2 F Benini (10189_CR3) 2013; 06 10189_CR30 M Henningson (10189_CR36) 1998; 07 I Bah (10189_CR57) 2012; 06 LF Alday (10189_CR55) 2010; 105 S Franco (10189_CR34) 2006; 01 A Butti (10189_CR33) 2005; 09 10189_CR27 10189_CR28 S Lee (10189_CR10) 2006; 03 S Franco (10189_CR15) 2006; 01 10189_CR20 R Eager (10189_CR11) 2014; 01 10189_CR21 10189_CR22 10189_CR24 10189_CR25 C Couzens (10189_CR12) 2019; 01 B Feng (10189_CR16) 2008; 12 10189_CR17 10189_CR18 10189_CR19 F Benini (10189_CR47) 2015; 07 10189_CR52 D Martelli (10189_CR5) 2008; 280 10189_CR53 S Benvenuti (10189_CR37) 2006; 10 10189_CR56 10189_CR14 D Martelli (10189_CR4) 2006; 268 S Benvenuti (10189_CR31) 2005; 06 10189_CR50 SM Hosseini (10189_CR23) 2016; 08 10189_CR51 A Butti (10189_CR9) 2005; 11 F Benini (10189_CR48) 2017; 96 D Martelli (10189_CR46) 2006; 262 10189_CR49 |
| References_xml | – reference: HosseiniSMMekareeyaNLarge N topologically twisted index: necklace quivers, dualities and Sasaki-Einstein spacesJHEP2016080892016JHEP...08..089H355565310.1007/JHEP08(2016)0891390.81600[arXiv:1604.03397] [INSPIRE] – reference: C.P. Herzog, I.R. Klebanov, S.S. Pufu and T. Tesileanu, Multi-Matrix Models and Tri-Sasaki Einstein Spaces, Phys. Rev.D 83 (2011) 046001 [arXiv:1011.5487] [INSPIRE]. – reference: HosseiniSMYaakovIZaffaroniATopologically twisted indices in five dimensions and holographyJHEP2018111192018JHEP...11..119H10.1007/JHEP11(2018)1191404.81232[arXiv:1808.06626] [INSPIRE] – reference: MartelliDSparksJYauS-TThe Geometric dual of a-maximisation for Toric Sasaki-Einstein manifoldsCommun. Math. Phys.2006268392006CMaPh.268...39M224979510.1007/s00220-006-0087-01190.53041[hep-th/0503183] [INSPIRE] – reference: I.R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys.B 536 (1998) 199 [hep-th/9807080] [INSPIRE]. – reference: LeeSReyS-JComments on anomalies and charges of toric-quiver dualsJHEP2006030682006JHEP...03..068L222296610.1088/1126-6708/2006/03/0681226.81209[hep-th/0601223] [INSPIRE] – reference: F. Azzurli, N. Bobev, P.M. Crichigno, V.S. Min and A. Zaffaroni, A universal counting of black hole microstates in AdS4, JHEP02 (2018) 054 [arXiv:1707.04257] [INSPIRE]. – reference: A. Amariti, L. Cassia and S. Penati, Surveying 4d SCFTs twisted on Riemann surfaces, JHEP06 (2017) 056 [arXiv:1703.08201] [INSPIRE]. – reference: C. Couzens, D. Martelli and S. Schäfer-Nameki, F-theory and AdS3/CF T2 (2, 0), JHEP06 (2018) 008 [arXiv:1712.07631] [INSPIRE]. – reference: S.M. Hosseini, A. Nedelin and A. Zaffaroni, The Cardy limit of the topologically twisted index and black strings in AdS5, JHEP04 (2017) 014 [arXiv:1611.09374] [INSPIRE]. – reference: K.A. Intriligator and B. Wecht, The Exact superconformal R symmetry maximizes a, Nucl. Phys.B 667 (2003) 183 [hep-th/0304128] [INSPIRE]. – reference: I. Bah, C. Beem, N. Bobev and B. Wecht, AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces, Phys. Rev.D 85 (2012) 121901 [arXiv:1112.5487] [INSPIRE]. – reference: D.R. Morrison and M.R. Plesser, Nonspherical horizons. 1., Adv. Theor. Math. Phys.3 (1999) 1 [hep-th/9810201] [INSPIRE]. – reference: GauntlettJPMartelliDSparksJFWaldramDA New infinite class of Sasaki-Einstein manifoldsAdv. Theor. Math. Phys.20048987219437310.4310/ATMP.2004.v8.n6.a31095.53034[hep-th/0403038] [INSPIRE] – reference: HananyAVeghDZaffaroniABrane Tilings and M2 BranesJHEP2009030122009JHEP...03..012H249570410.1088/1126-6708/2009/03/012[arXiv:0809.1440] [INSPIRE] – reference: FengBHeY-HKennawayKDVafaCDimer models from mirror symmetry and quivering amoebaeAdv. Theor. Math. Phys.200812489239931810.4310/ATMP.2008.v12.n3.a21144.81501[hep-th/0511287] [INSPIRE] – reference: SzepietowskiPComments on a-maximization from gauged supergravityJHEP2012120182012JHEP...12..018S304529710.1007/JHEP12(2012)0181397.83207[arXiv:1209.3025] [INSPIRE] – reference: J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S2 × S3, Adv. Theor. Math. Phys.8 (2004) 711 [hep-th/0403002] [INSPIRE]. – reference: BeniniFBobevNTwo-dimensional SCFTs from wrapped branes and c-extremizationJHEP2013060052013JHEP...06..005B10.1007/JHEP06(2013)0051390.83325[arXiv:1302.4451] [INSPIRE] – reference: K. Hristov and S. Vandoren, Static supersymmetric black holes in AdS4with spherical symmetry, JHEP04 (2011) 047 [arXiv:1012.4314] [INSPIRE]. – reference: S.S. Gubser and I.R. Klebanov, Baryons and domain walls in an N = 1 superconformal gauge theory, Phys. Rev.D 58 (1998) 125025 [hep-th/9808075] [INSPIRE]. – reference: ButtiAForcellaDZaffaroniAThe Dual superconformal theory for Lp, q, r manifoldsJHEP2005090182005JHEP...09..018B10.1088/1126-6708/2005/09/018[hep-th/0505220] [INSPIRE] – reference: BeniniFZaffaroniASupersymmetric partition functions on Riemann surfacesProc. Symp. Pure Math.20179613375181206949422[arXiv:1605.06120] [INSPIRE] – reference: S.L. Cacciatori and D. Klemm, Supersymmetric AdS4black holes and attractors, JHEP01 (2010) 085 [arXiv:0911.4926] [INSPIRE]. – reference: D.L. Jafferis, I.R. Klebanov, S.S. Pufu and B.R. Safdi, Towards the F-Theorem: N = 2 Field Theories on the Three-Sphere, JHEP06 (2011) 102 [arXiv:1103.1181] [INSPIRE]. – reference: F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett.110 (2013) 061601 [arXiv:1211.4030] [INSPIRE]. – reference: F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS4from supersymmetric localization, JHEP05 (2016) 054 [arXiv:1511.04085] [INSPIRE]. – reference: MartelliDSparksJYauS-TSasaki-Einstein manifolds and volume minimisationCommun. Math. Phys.20082806112008CMaPh.280..611M239960910.1007/s00220-008-0479-41161.53029[hep-th/0603021] [INSPIRE] – reference: A. Hanany and K.D. Kennaway, Dimer models and toric diagrams, hep-th/0503149 [INSPIRE]. – reference: FrancoSHananyAKennawayKDVeghDWechtBBrane dimers and quiver gauge theoriesJHEP2006010962006JHEP...01..096F220122710.1088/1126-6708/2006/01/096[hep-th/0504110] [INSPIRE] – reference: F. Benini, K. Hristov and A. Zaffaroni, Exact microstate counting for dyonic black holes in AdS4, Phys. Lett.B 771 (2017) 462 [arXiv:1608.07294] [INSPIRE]. – reference: G. Dall’Agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, JHEP03 (2011) 037 [arXiv:1012.3756] [INSPIRE]. – reference: BeniniFZaffaroniAA topologically twisted index for three-dimensional supersymmetric theoriesJHEP2015071272015JHEP...07..127B338308510.1007/JHEP07(2015)1271388.81400[arXiv:1504.03698] [INSPIRE] – reference: MartelliDSparksJToric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT dualsCommun. Math. Phys.2006262512006CMaPh.262...51M220088210.1007/s00220-005-1425-31112.53034[hep-th/0411238] [INSPIRE] – reference: C. Closset and H. Kim, Comments on twisted indices in 3d supersymmetric gauge theories, JHEP08 (2016) 059 [arXiv:1605.06531] [INSPIRE]. – reference: AcharyaBSFigueroa-O’FarrillJMHullCMSpenceBJBranes at conical singularities and holographyAdv. Theor. Math. Phys.199921249169362410.4310/ATMP.1998.v2.n6.a20948.83061[hep-th/9808014] [INSPIRE] – reference: BenvenutiSPando ZayasLATachikawaYTriangle anomalies from Einstein manifoldsAdv. Theor. Math. Phys.200610395225027510.4310/ATMP.2006.v10.n3.a41129.81081[hep-th/0601054] [INSPIRE] – reference: P. Karndumri and E. O Colgain, Supergravity dual of c-extremization, Phys. Rev.D 87 (2013) 101902 [arXiv:1302.6532] [INSPIRE]. – reference: CouzensCGauntlettJPMartelliDSparksJA geometric dual of c-extremizationJHEP2019012122019JHEP...01..212C10.1007/JHEP01(2019)21207035207[arXiv:1810.11026] [INSPIRE] – reference: S.S. Gubser, Einstein manifolds and conformal field theories, Phys. Rev.D 59 (1999) 025006 [hep-th/9807164] [INSPIRE]. – reference: F. Benini, N. Bobev and P.M. Crichigno, Two-dimensional SCFTs from D3-branes, JHEP07 (2016) 020 [arXiv:1511.09462] [INSPIRE]. – reference: S.M. Hosseini and A. Zaffaroni, Large N matrix models for 3dN=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=2 $$\end{document}theories: twisted index, free energy and black holes, JHEP08 (2016) 064 [arXiv:1604.03122] [INSPIRE]. – reference: BenvenutiSKruczenskiMFrom Sasaki-Einstein spaces to quivers via BPS geodesics: Lp, q|rJHEP2006040332006JHEP...04..033B10.1088/1126-6708/2006/04/033[hep-th/0505206] [INSPIRE] – reference: BenvenutiSFrancoSHananyAMartelliDSparksJAn Infinite family of superconformal quiver gauge theories with Sasaki-Einstein dualsJHEP2005060642005JHEP...06..064B215830510.1088/1126-6708/2005/06/064[hep-th/0411264] [INSPIRE] – reference: FrancoSHananyAMartelliDSparksJVeghDWechtBGauge theories from toric geometry and brane tilingsJHEP2006011282006JHEP...01..128F220120410.1088/1126-6708/2006/01/128[hep-th/0505211] [INSPIRE] – reference: GauntlettJPMartelliDSparksJToric geometry and the dual of c-extremizationJHEP2019012042019JHEP...01..204G10.1007/JHEP01(2019)20407035199[arXiv:1812.05597] [INSPIRE] – reference: ButtiAZaffaroniAFrom toric geometry to quiver gauge theory: The Equivalence of a-maximization and Z-minimizationFortsch. Phys.2006543092006ForPh..54..309B223060010.1002/prop.2005102761090.81045[hep-th/0512240] [INSPIRE] – reference: EagerREquivalence of A-Maximization and Volume MinimizationJHEP2014010892014JHEP...01..089E317166510.1007/JHEP01(2014)0891333.81324[arXiv:1011.1809] [INSPIRE] – reference: M. Cvetič, H. Lü, D.N. Page and C.N. Pope, New Einstein-Sasaki spaces in five and higher dimensions, Phys. Rev. Lett.95 (2005) 071101 [hep-th/0504225] [INSPIRE]. – reference: ButtiAZaffaroniAR-charges from toric diagrams and the equivalence of a-maximization and Z-minimizationJHEP2005110192005JHEP...11..019B218755810.1088/1126-6708/2005/11/019[hep-th/0506232] [INSPIRE] – reference: BahIBeemCBobevNWechtBFour-Dimensional SCFTs from M5-BranesJHEP2012060052012JHEP...06..005B300689810.1007/JHEP06(2012)0051397.81218[arXiv:1203.0303] [INSPIRE] – reference: O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP10 (2008) 091 [arXiv:0806.1218] [INSPIRE]. – reference: AldayLFBeniniFTachikawaYLiouville/Toda central charges from M5-branesPhys. Rev. Lett.20101051416012010PhRvL.105n1601A272825510.1103/PhysRevLett.105.141601[arXiv:0909.4776] [INSPIRE] – reference: AmaritiAToldoCBetti multiplets, flows across dimensions and c-extremizationJHEP2017070402017JHEP...07..040A368836010.1007/JHEP07(2017)0401380.81282[arXiv:1610.08858] [INSPIRE] – reference: HenningsonMSkenderisKThe Holographic Weyl anomalyJHEP1998070231998JHEP...07..023H164498810.1088/1126-6708/1998/07/0230958.81083[hep-th/9806087] [INSPIRE] – reference: A. Amariti, L. Cassia and S. Penati, c-extremization from toric geometry, Nucl. Phys.B 929 (2018) 137 [arXiv:1706.07752] [INSPIRE]. – reference: Y. Tachikawa, Five-dimensional supergravity dual of a-maximization, Nucl. Phys.B 733 (2006) 188 [hep-th/0507057] [INSPIRE]. – ident: 10189_CR52 doi: 10.1007/JHEP03(2011)037 – volume: 07 start-page: 127 year: 2015 ident: 10189_CR47 publication-title: JHEP doi: 10.1007/JHEP07(2015)127 – ident: 10189_CR21 doi: 10.1007/JHEP05(2016)054 – ident: 10189_CR24 doi: 10.1007/JHEP02(2018)054 – ident: 10189_CR42 doi: 10.1007/JHEP07(2016)020 – volume: 06 start-page: 005 year: 2013 ident: 10189_CR3 publication-title: JHEP doi: 10.1007/JHEP06(2013)005 – ident: 10189_CR40 doi: 10.1016/j.nuclphysb.2018.01.025 – ident: 10189_CR44 doi: 10.1007/JHEP06(2017)056 – ident: 10189_CR53 doi: 10.1007/JHEP04(2011)047 – volume: 03 start-page: 068 year: 2006 ident: 10189_CR10 publication-title: JHEP doi: 10.1088/1126-6708/2006/03/068 – volume: 01 start-page: 128 year: 2006 ident: 10189_CR34 publication-title: JHEP doi: 10.1088/1126-6708/2006/01/128 – ident: 10189_CR38 doi: 10.1103/PhysRevD.58.125025 – ident: 10189_CR6 doi: 10.1016/j.nuclphysb.2005.11.010 – volume: 01 start-page: 089 year: 2014 ident: 10189_CR11 publication-title: JHEP doi: 10.1007/JHEP01(2014)089 – volume: 06 start-page: 064 year: 2005 ident: 10189_CR31 publication-title: JHEP doi: 10.1088/1126-6708/2005/06/064 – volume: 10 start-page: 395 year: 2006 ident: 10189_CR37 publication-title: Adv. Theor. Math. Phys. doi: 10.4310/ATMP.2006.v10.n3.a4 – ident: 10189_CR51 doi: 10.1007/JHEP01(2010)085 – ident: 10189_CR2 doi: 10.1103/PhysRevLett.110.061601 – volume: 11 start-page: 019 year: 2005 ident: 10189_CR9 publication-title: JHEP doi: 10.1088/1126-6708/2005/11/019 – volume: 12 start-page: 018 year: 2012 ident: 10189_CR7 publication-title: JHEP doi: 10.1007/JHEP12(2012)018 – ident: 10189_CR19 doi: 10.1007/JHEP06(2011)102 – volume: 04 start-page: 033 year: 2006 ident: 10189_CR32 publication-title: JHEP doi: 10.1088/1126-6708/2006/04/033 – ident: 10189_CR20 doi: 10.1007/JHEP08(2016)064 – ident: 10189_CR17 doi: 10.1007/JHEP04(2017)014 – ident: 10189_CR45 doi: 10.1007/JHEP06(2018)008 – ident: 10189_CR30 doi: 10.1103/PhysRevLett.95.071101 – volume: 07 start-page: 023 year: 1998 ident: 10189_CR36 publication-title: JHEP doi: 10.1088/1126-6708/1998/07/023 – volume: 01 start-page: 204 year: 2019 ident: 10189_CR13 publication-title: JHEP doi: 10.1007/JHEP01(2019)204 – volume: 96 start-page: 13 year: 2017 ident: 10189_CR48 publication-title: Proc. Symp. Pure Math. – volume: 11 start-page: 119 year: 2018 ident: 10189_CR41 publication-title: JHEP doi: 10.1007/JHEP11(2018)119 – volume: 06 start-page: 005 year: 2012 ident: 10189_CR57 publication-title: JHEP doi: 10.1007/JHEP06(2012)005 – ident: 10189_CR18 doi: 10.1103/PhysRevD.83.046001 – volume: 280 start-page: 611 year: 2008 ident: 10189_CR5 publication-title: Commun. Math. Phys. doi: 10.1007/s00220-008-0479-4 – ident: 10189_CR22 doi: 10.1016/j.physletb.2017.05.076 – volume: 03 start-page: 012 year: 2009 ident: 10189_CR54 publication-title: JHEP doi: 10.1088/1126-6708/2009/03/012 – volume: 08 start-page: 089 year: 2016 ident: 10189_CR23 publication-title: JHEP doi: 10.1007/JHEP08(2016)089 – ident: 10189_CR14 – volume: 105 start-page: 141601 year: 2010 ident: 10189_CR55 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.105.141601 – volume: 01 start-page: 212 year: 2019 ident: 10189_CR12 publication-title: JHEP doi: 10.1007/JHEP01(2019)212 – volume: 09 start-page: 018 year: 2005 ident: 10189_CR33 publication-title: JHEP doi: 10.1088/1126-6708/2005/09/018 – ident: 10189_CR56 doi: 10.1103/PhysRevD.85.121901 – ident: 10189_CR27 doi: 10.4310/ATMP.1999.v3.n1.a1 – volume: 2 start-page: 1249 year: 1999 ident: 10189_CR26 publication-title: Adv. Theor. Math. Phys. doi: 10.4310/ATMP.1998.v2.n6.a2 – volume: 54 start-page: 309 year: 2006 ident: 10189_CR35 publication-title: Fortsch. Phys. doi: 10.1002/prop.200510276 – ident: 10189_CR49 doi: 10.1007/JHEP08(2016)059 – ident: 10189_CR39 doi: 10.1103/PhysRevD.59.025006 – volume: 07 start-page: 040 year: 2017 ident: 10189_CR43 publication-title: JHEP doi: 10.1007/JHEP07(2017)040 – volume: 262 start-page: 51 year: 2006 ident: 10189_CR46 publication-title: Commun. Math. Phys. doi: 10.1007/s00220-005-1425-3 – volume: 268 start-page: 39 year: 2006 ident: 10189_CR4 publication-title: Commun. Math. Phys. doi: 10.1007/s00220-006-0087-0 – volume: 01 start-page: 096 year: 2006 ident: 10189_CR15 publication-title: JHEP doi: 10.1088/1126-6708/2006/01/096 – volume: 12 start-page: 489 year: 2008 ident: 10189_CR16 publication-title: Adv. Theor. Math. Phys. doi: 10.4310/ATMP.2008.v12.n3.a2 – ident: 10189_CR50 doi: 10.1088/1126-6708/2008/10/091 – ident: 10189_CR1 doi: 10.1016/S0550-3213(03)00459-0 – ident: 10189_CR8 doi: 10.1103/PhysRevD.87.101902 – ident: 10189_CR28 doi: 10.4310/ATMP.2004.v8.n4.a3 – volume: 8 start-page: 987 year: 2004 ident: 10189_CR29 publication-title: Adv. Theor. Math. Phys. doi: 10.4310/ATMP.2004.v8.n6.a3 – ident: 10189_CR25 doi: 10.1016/S0550-3213(98)00654-3 |
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| Snippet | A
bstract
The gravitational dual of
c
-extremization for a class of (0
,
2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge... The gravitational dual of c -extremization for a class of (0 , 2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories... The gravitational dual of c-extremization for a class of (0, 2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge theories... Abstract The gravitational dual of c-extremization for a class of (0, 2) two-dimensional theories obtained by twisted compactifications of D3-brane gauge... |
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| SubjectTerms | AdS-CFT Correspondence Black holes Black Holes in String Theory Branes Classical and Quantum Gravitation Elementary Particles Equivalence Gravitation theory High energy physics Optimization Parameterization Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Supersymmetric Gauge Theory |
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| Title | Proving the equivalence of c-extremization and its gravitational dual for all toric quivers |
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