Holomorphic Blocks for 3d Non-abelian Partition Functions

2013/03/24 by Masato Taki, Taki Masato, Taki, Masato · 6 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.1303.5915

24 pages, 4 figures

arxiv created 2013/03/24 · openalex publication_date 2013/03/24 · arxiv updated 2013/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The most recent studies on the supersymmetric localization reveal many non-trivial features of supersymmetric field theories in diverse dimensions, and 3d gauge theory provides a typical example. It was conjectured that the index and the partition function of a 3d N=2 theory are constructed from a single component: the holomorphic block. We prove this conjecture for non-abelian gauge theories by computing exactly the 3d partition functions and holomorphic blocks.

Citations

• 3-Manifolds and 3d Indices
• Factorization of the 3d superconformal index

Cited by

• M2-brane indices on Higgs vacua
• Quantum vortices, M2-branes and black holes
• Gauge/Liouville Triality
• Non-Perturbative Schwinger-Dyson Equations for 3d \cal N = 4 Gauge Theories
• Anomalies and Holomorphy in Supersymmetric Chern-Simons-Matter Theories
• Fundamental vortices, wall-crossing, and particle-vortex duality

Related

• Universal Cardy-Like Behavior of 3D Partition Functions from Supersymmetric Localization
• Boundaries & Localisation with a Topological Twist
• Supersymmetry and Localization on Three-Dimensional Orbifolds
• A review on SUSY gauge theories on S³
• Index for a Model of 3d-3d Correspondence for Plumbed 3-Manifolds