On the Monodromies of N=2 Supersymmetric Yang-Mills Theory with Gauge Group SO(2n)

TL;DR

This paper constructs algebraic curves for N=2 supersymmetric Yang-Mills theories with SO(2n) gauge groups, analyzing their monodromies and vacua to deepen understanding of their moduli spaces.

Contribution

It introduces explicit algebraic curves for SO(2n) gauge groups and verifies their properties through monodromy and vacuum calculations.

Findings

Derived algebraic curves for SO(2n) gauge theories.

Computed weak coupling monodromies for these theories.

Counted the number of N=1 vacua in the models.

Abstract

We present families of algebraic curves describing the moduli-space of $N\!=\!2$ supersymmetric Yang-Mills theory with gauge group $SO(2n)$. We test our curves by computing the weak coupling monodromies and the number of $N\!=\!1$ vacua.