Wall Crossing and Instantons in Compactified Gauge Theory

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.

24 pages, no figures

References in corpus (3)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• Seiberg-Witten prepotential from instanton counting

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