The Power of Holomorphy -- Exact Results in 4D SUSY Field Theories

TL;DR

This paper discusses how holomorphy in 4D supersymmetric theories allows for exact non-perturbative results, providing insights into phenomena like confinement and chiral symmetry breaking.

Contribution

It presents explicit realizations of known and new phenomena in strongly coupled 4D SUSY theories, enhancing understanding of their non-perturbative dynamics.

Findings

Explicit realizations of phenomena in 4D SUSY theories

New insights into confinement mechanisms

Advances in understanding chiral symmetry breaking

Abstract

Holomorphy of the superpotential and of the coefficient of the gauge kinetic terms in supersymmetric theories lead to powerful results. They are the underlying conceptual reason for the important non-renormalization theorems. They also enable us to study the exact non-perturbative dynamics of these theories. We find explicit realizations of known phenomena as well as new ones in four dimensional strongly coupled field theories. These shed new light on confinement and chiral symmetry breaking. This note is based on a talk delivered at the PASCOS (94) meeting at Syracuse University.