Residues, modularity, and the Cardy limit of the 4d \(\mathcal{N} = 4\) superconformal index

DOI10.1007/JHEP04(2021)216zbMath1462.81196arXiv2011.06605OpenAlexW3153429854MaRDI QIDQ2032602

Kevin Goldstein, Yang Lei, Sam van Leuven, Wei Li, Vishnu Jejjalaa

Publication date: 11 June 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06605

zbMATH Keywords

AdS-CFT correspondencesupersymmetric gauge theory

Mathematics Subject Classification ID

Black holes (83C57) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items

The topologically twisted index of \(\mathcal{N} = 4\mathrm{SU} (N)\) super-Yang-Mills theory and a black hole Farey tail, Large \(N\) superconformal indices for 3d holographic SCFTs, On the 4d superconformal index near roots of unity: bulk and localized contributions, Words to describe a black hole, Modular factorization of superconformal indices, Probing supersymmetric black holes with surface defects, The panorama of spin matrix theory, The SUSY index beyond the Cardy limit, Quantum phases of \(4d\) \(\mathrm{SU}(N)\) \(\mathcal{N} = 4\) SYM, Supersymmetric phases of \(\mathrm{AdS}_4/\mathrm{CFT}_3\), Exact stringy microstates from gauge theories, The large-\(N\) limit of 4d superconformal indices for general BPS charges, Root of unity asymptotics for Schur indices of 4d Lagrangian theories, Microscopic entropy of \( \mathrm{AdS}_3\) black holes revisited, Expanding on the Cardy-like limit of the SCI of 4d \(\mathcal{N} = 1\) ABCD SCFTs, The Bethe-ansatz approach to the \(\mathcal{N} = 4\) superconformal index at finite rank, The SCI of \(\mathcal{N} = 4\) \( \mathrm{USp} (2N_c )\) and \( \mathrm{SO} (N_c )\) SYM as a matrix integral, Superconformal index of low-rank gauge theories via the Bethe ansatz, \( SL (3, \mathbb{Z} )\) Modularity and new Cardy limits of the \(\mathcal{N} = 4\) superconformal index, Decomposition of BPS moduli spaces and asymptotics of supersymmetric partition functions

Uses Software

• MultivariateResidues

Cites Work

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• \textsc{MultivariateResidues} : a Mathematica package for computing multivariate residues