Moduli space and wall-crossing formulae in higher-rank gauge theories
Journal
Journal of High Energy Physics
Journal Volume
2011
Journal Issue
11
Date Issued
2011
Author(s)
Abstract
We study the interplay between wall-crossing in four-dimensional gauge theory and instanton contributions to the moduli space metric of the same theory on ℝ3×S1. We consider N = 2 SUSY Yang-Mills with gauge group SU(n) and focus on walls of marginal stability which extend to weak coupling. By comparison with explicit field theory results we verify the Kontsevich-Soibelman formula for the change in the BPS spectrum at these walls and check the smoothness of the metric in the corresponding compactified theory. We also verify in detail the predictions for the one instanton contribution to the metric coming from the non-linear integral equations of Gaiotto, Moore and Nietzke. © 2011 SISSA.
Type
journal article