Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence

A bstract We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d N ≥ 4 gauge theories and the three sphere partition function deformed by mass or FI parameters. The equality is the result of cohomological equivale...

Full description

Saved in:
Bibliographic Details
Published inThe journal of high energy physics Vol. 2022; no. 4; pp. 171 - 18
Main Authors Guerrini, Luigi, Penati, Silvia, Yaakov, Itamar
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 27.04.2022
Springer Nature B.V
SpringerOpen
Subjects
Algebra
Classical and Quantum Gravitation
Elementary Particles
Equality
Equivalence
Extended Supersymmetry
Gauge theory
High energy physics
Localization
Operators (mathematics)
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Supersymmetric Gauge Theory
Symmetry
Extended Supersymmetry
Supersymmetric Gauge Theory
Online AccessGet full text
ISSN1029-8479
1126-6708
1127-2236
1029-8479
DOI10.1007/JHEP04(2022)171

Cover

More Information
Summary:A bstract We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d N ≥ 4 gauge theories and the three sphere partition function deformed by mass or FI parameters. The equality is the result of cohomological equivalence and applies to all theories in this class, including ABJM and other generalized Gaiotto-Witten models, and those without an explicit supersymmetric Lagrangian.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-8479
1126-6708
1127-2236
1029-8479
DOI:10.1007/JHEP04(2022)171