Non-Perturbative Dynamics in Supersymmetric Gauge Theories

TL;DR

This paper reviews recent advances in supersymmetric gauge theories, highlighting exact solutions and dynamical regimes in N=1 models, with insights potentially applicable to non-supersymmetric QCD.

Contribution

It provides a pedagogical overview of non-perturbative dynamics in N=1 supersymmetric gauge theories, emphasizing features that may inform understanding of real-world QCD.

Findings

Exact solutions in supersymmetric gauge theories

Dynamical regimes in supersymmetric QCD

Features potentially applicable to non-supersymmetric QCD

Abstract

I give an introductory review of recent, fascinating developments in supersymmetric gauge theories. I explain pedagogically the miraculous properties of supersymmetric gauge dynamics allowing one to obtain exact solutions in many instances. Various dynamical regimes emerging in supersymmetric Quantum Chromodynamics and its generalizations are discussed. I emphasize those features that have a chance of survival in QCD and those which are drastically different in supersymmetric and non-supersymmetric gauge theories. Unlike most of the recent reviews focusing almost entirely on the progress in extended supersymmetries (the Seiberg-Witten solution of N=2 models), these lectures are mainly devoted to N=1 theories. The primary task is extracting lessons for non-supersymmetric theories.