Index-like theorems from line defect vevs

T. Daniel Brennan, Gregory W. Moore

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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
Issue number9
StatePublished - Sep 1 2019

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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


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