English

Wall Crossing and Instantons in Compactified Gauge Theory

High Energy Physics - Theory 2012-03-06 v1

Abstract

We calculate the leading weak-coupling instanton contribution to the moduli-space metric of N=2 supersymmetric Yang-Mills theory with gauge group SU(2) compactified on R^3 x S^1. The results are in precise agreement with the semiclassical expansion of the exact metric recently conjectured by Gaiotto, Moore and Neitzke based on considerations related to wall-crossing in the corresponding four-dimensional theory.

Keywords

Cite

@article{arxiv.1004.0703,
  title  = {Wall Crossing and Instantons in Compactified Gauge Theory},
  author = {Heng-Yu Chen and Nick Dorey and Kirill Petunin},
  journal= {arXiv preprint arXiv:1004.0703},
  year   = {2012}
}

Comments

24 pages, no figures

R2 v1 2026-06-21T15:06:40.899Z