Finite-N superconformal index via the AdS/CFT correspondence

Abstract We propose a prescription to calculate the superconformal index of the ${\cal N}=4$U(N) supersymmetric Yang–Mills theory with finite N on the anti-de Sitter side. The finite-N corrections are included as contributions of D3-branes wrapped around three-cycles in ${\boldsymbol S}^5$, which ar...

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Bibliographic Details
Published inProgress of theoretical and experimental physics Vol. 2021; no. 12
Main Author Imamura, Yosuke
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.12.2021
Subjects
Integrals
Symmetry
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ISSN2050-3911
2050-3911
DOI10.1093/ptep/ptab141

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Summary:Abstract We propose a prescription to calculate the superconformal index of the ${\cal N}=4$U(N) supersymmetric Yang–Mills theory with finite N on the anti-de Sitter side. The finite-N corrections are included as contributions of D3-branes wrapped around three-cycles in ${\boldsymbol S}^5$, which are calculated as the index of the gauge theories realized on the wrapped branes. The single-wrapping contribution has been studied in a previous work, and we further confirm that the inclusion of multiple-wrapping contributions correctly reproduces the higher-order terms as far as we have checked numerically.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptab141