Moduli space and wall-crossing formulae in higher-rank gauge theories

作者：Chen Heng Yu^*; Dorey Nick; Petunin Kirill

来源：The Journal of High Energy Physics, 2011, 2011(11): 020.

DOI：10.1007/JHEP11(2011)020

• Supersymmetric gauge theory
• Integrable Equations in Physics
• Nonperturbative Effects
• Extended Supersymmetry

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 3 X SI. 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.

• 出版日期2011-11