2020/07/22 by Mathew Bullimore, Andrea E. V. Ferrari, Bullimore, Mathew +5
Computer Science · Mathematics · #Advanced Topics in Algebra #Computability, Logic, AI Algorithms #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2007.11603
openalex publication_date 2020/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The twisted index of 3d N=2 gauge theories on S1 × Σ has an algebro-geometric interpretation as the Witten index of an effective supersymmetric quantum mechanics. In this paper, we consider the contributions to the supersymmetric quantum mechanics from topological saddle points in supersymmetric localisation of abelian gauge theories. Topological saddles are configurations where the matter fields vanish and the gauge symmetry is unbroken, which exist for non-vanishing effective Chern-Simons levels. We compute the contributions to the twisted index from both topological and vortex-like saddles points and show that their combination recovers the Jeffrey-Kirwan residue prescription for the twisted index and its wall-crossing.