Lectures on supersymmetric gauge theories and electric-magnetic duality

TL;DR

This paper reviews recent advances in understanding four-dimensional supersymmetric gauge theories, focusing on holomorphy and duality, and discusses new unpublished insights into their phases.

Contribution

It provides a comprehensive review of supersymmetric gauge theory dynamics, highlighting the role of duality and including new unpublished results.

Findings

Insights into the phases of gauge theories

Role of holomorphy in determining kinematics

New unpublished results on gauge theory dynamics

Abstract

We review some of the recent work on the dynamics of four dimensional, supersymmetric gauge theories. The kinematics are largely determined by holomorphy and the dynamics are governed by duality. The results shed light on the phases of gauge theories. Some results and interpretations which have not been published before are also included.