The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory

TL;DR

This paper provides an exact analysis of the vacuum structure and spectrum in four-dimensional N=2 supersymmetric SU(N) gauge theories, linking the moduli space to hyperelliptic Riemann surfaces.

Contribution

It offers a precise description of the moduli space metric and spectrum, connecting gauge theory vacua to complex algebraic geometry.

Findings

Exact metric on the moduli space of vacua derived

Spectrum of massive states characterized

Moduli space identified with hyperelliptic Riemann surfaces

Abstract

We present an exact description of the metric on the moduli space of vacua and the spectrum of massive states for four dimensional N=2 supersymmetric SU(n) gauge theories. The moduli space of quantum vacua is identified with the moduli space of a special set of genus n-1 hyperelliptic Riemann surfaces.