IR Renormalons and Fractional Instantons in SUSY Gauge Theories

TL;DR

This paper explores the connection between IR-renormalon divergences and fractional instanton effects in supersymmetric gauge theories and sigma models, revealing links to large N dualities and matrix models.

Contribution

It establishes a direct connection between IR-renormalons and fractional instantons in SUSY gauge theories and sigma models, and relates these to large N dualities and matrix models.

Findings

IR-renormalons linked to fractional instantons in SUSY theories.

Connection between IR-renormalons and c=1 matrix models.

Insights into nonperturbative effects in gauge theories.

Abstract

We study IR-renormalon divergences in N=1 supersymmetric Yang Mills gauge theories and in two dimensional non linear sigma models with mass gap. We derive, in both types of theories, a direct connection between IR- renormalons and fractional instanton effects. From the point of view of large $N$ dualities we work out a connection between IR-renormalons and $c=1$ matrix models.