Modular anomaly equation for Schur index of N = 4 super-Yang-Mills

Modular anomaly equation for Schur index of N = 4 super-Yang-Mills

A bstract We propose a novel modular anomaly equation for the unflavored Schur index in the N = 4 SU( N ) super-Yang-Mills theory. The vanishing conditions overdetermine the modular ambiguity ansatz from the equation, thus together they are sufficient to recursively compute the exact Schur indices f...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2022; no. 8; p. 49
Main Author: Huang, Min-xin
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 03-08-2022
Springer Nature B.V
Subjects:
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Integrals
Localization
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Yang-Mills theory
Topological Strings
AdS-CFT Correspondence
Supersymmetric Gauge Theory
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Summary:A bstract We propose a novel modular anomaly equation for the unflavored Schur index in the N = 4 SU( N ) super-Yang-Mills theory. The vanishing conditions overdetermine the modular ambiguity ansatz from the equation, thus together they are sufficient to recursively compute the exact Schur indices for all SU( N ) gauge groups. Using the representations as MacMahon’s generalized sum-of-divisors functions and Jacobi forms, we then prove our proposal as well as elucidate a general formula conjectured by Pan and Peelaers.
ISSN:1029-8479
DOI:10.1007/JHEP08(2022)049