Index-like theorems from line defect vevs

T. Daniel Brennan, Gregory W. Moore

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

In this paper we investigate the relation between complexified Fenchel-Nielsen coordinates and spectral network coordinates on Seiberg-Witten moduli space. The main technique is the comparison of exact expressions for the expectation value of ’t Hooft defects in certain 4D SU(2) N = 2 gauge theories. We derive an index-like theorem for a class of Dirac operators on singular monopole moduli spaces. Our expression determines the indices of Dirac operators on singular monopole moduli spaces in terms of characteristic numbers for vector bundles over certain Kronheimer-Nakajima quiver varieties.

Original languageEnglish (US)
Article number73
JournalJournal of High Energy Physics
Volume2019
Issue number9
DOIs
StatePublished - Sep 1 2019

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Differential and Algebraic Geometry
  • Supersymmetric Gauge Theory
  • Wilson
  • ’t Hooft and Polyakov loops

Fingerprint Dive into the research topics of 'Index-like theorems from line defect vevs'. Together they form a unique fingerprint.

Cite this