On Duality in Supersymmetric Yang-Mills Theory

TL;DR

This paper explores the duality properties of non-abelian supersymmetric Yang-Mills theories with adjoint and fundamental matter, revealing complex IR fixed points and vacua structures influenced by superpotential deformations.

Contribution

It demonstrates how superpotential deformations induce rich IR dynamics and multicritical fixed points in supersymmetric Yang-Mills theories, extending understanding of duality in these models.

Findings

Identification of multiple IR fixed points

Connection of vacua via superpotential parameters

Insights into long-distance dynamics of supersymmetric gauge theories

Abstract

We discuss non-abelian $SU(N_c)$ gauge theory coupled to an adjoint chiral superfield $X$, and a number of fundamental chiral superfields $Q^i$. Using duality, we show that turning on a superpotential $W(X)=\Tr\sum_{l=1}^k g_l X^{l+1}$ leads to non-trivial long distance dynamics, a large number of multicritical IR fixed points and vacua, connected to each other by varying the coefficients $g_l$.