Seiberg-Witten Toda Chains and N=1 SQCD

TL;DR

This paper explores the connection between Seiberg-Witten Toda chains and N=1 supersymmetric QCD, highlighting their degenerations and implications for confinement in gauge theories.

Contribution

It establishes new links between integrable systems and the non-perturbative dynamics of N=1 SUSY gauge theories, extending previous work on N=2 solutions.

Findings

Identification of perturbative and solitonic degenerations of Toda chains

Relations between solitonic degenerations and confinement mechanisms

Insights into the structure of N=1 vacua

Abstract

We consider the Seiberg-Witten Toda chains arising in the context of exact solutions to N=2 SUSY Yang-Mills and their relation to the properties of N=1 SUSY gauge theories. In particular, we discuss their "perturbative" and "solitonic" degenerations and demonstrate some relations of the latter ones to the confining properties of N=1 vacua.