Hitchin systems in N=2 field theory

2014/12/22 by Neitzke, Andrew
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1412.7120

Abstract

This is the second article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J. Teschner. The space of vacua of class \cal S theories on R³ × S¹ can be identified as the moduli space of solutions to the self-duality equations in two dimensions on Riemann surfaces studied by Hitchin. This fact plays a fundamental role for recent studies of the spectrum of BPS states in class \cal S theories, and it is related to the integrable structure underlying Seiberg-Witten theory of theories of class \cal S. This article reviews important aspects of the role of the Hitchin system for the infrared physics of class \cal S theories.

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