Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions

TL;DR

This paper explores the structure, anomalies, and quantum properties of N=2 supersymmetric gauge theories in three dimensions, highlighting mirror symmetry and quantum moduli spaces for different gauge groups and flavors.

Contribution

It provides a comprehensive analysis of N=2 3d gauge theories, including their multiplet structure, anomalies, non-renormalization theorems, and the interpretation of mirror symmetry in terms of vortices.

Findings

Quantum corrections to moduli space in U(1) theories

Mirror symmetry interpreted via vortices

Quantum moduli spaces vary with number of flavors

Abstract

We consider general aspects of N=2 gauge theories in three dimensions, including their multiplet structure, anomalies and non-renormalization theorems. For U(1) gauge theories, we discuss the quantum corrections to the moduli space, and their relation to ``mirror symmetries'' of 3d N=4 theories. Mirror symmetry is given an interpretation in terms of vortices. For SU(N_c) gauge groups with N_f fundamental flavors, we show that, depending on the number of flavors, there are quantum moduli spaces of vacua with various phenomena near the origin.