Partition functions for supersymmetric gauge theories on spheres

DOI10.1142/S0217751X18501798zbMath1403.81056arXiv2101.09217MaRDI QIDQ4556805

Andrei A. Bytsenko, Masud Chaichian, Antonio E. Gonçalves

Publication date: 28 November 2018

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09217

zbMATH Keywords

localization techniqueBell polynomials and spectral functions of hyperbolic geometrypartition functions in gauge supersymmetric quantum field theory

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Path integrals in quantum mechanics (81S40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Holomorphic blocks in three dimensions
• Exact results in \(D = 2\) supersymmetric gauge theories
• Exact results for Wilson loops in superconformal Chern-Simons theories with matter
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Partition functions for quantum gravity, black holes, elliptic genera and Lie algebra homologies
• The modular properties and the integral representations of the multiple elliptic gamma functions
• Exponential polynomials
• Partition functions of \(\mathcal N=(2,2)\) gauge theories on \(S^2\) and vortices
• 3-manifolds and 3d indices
• Factorisation and holomorphic blocks in 4d
• Localization of Equivariant Cohomology for Compact and Non-Compact Group Actions
• Introduction to localization in quantum field theory
• Quantum black holes, elliptic genera and spectral partition functions