Systematic Study of Theories with Quantum Modified Moduli

TL;DR

This paper classifies supersymmetric theories with quantum modified moduli, focusing on SU and Sp gauge groups, and identifies new branches in the moduli space caused by quantum effects.

Contribution

It systematically determines all such theories with quantum modified moduli and calculates the exact quantum modifications to their algebraic constraints.

Findings

Identified all SU and Sp gauge theories with quantum modified moduli.

Calculated precise quantum modifications to the moduli algebraic constraints.

Discovered new branches in the moduli space due to quantum effects.

Abstract

We begin the process of classifying all supersymmetric theories with quantum modified moduli. We determine all theories based on a single SU or Sp gauge group with quantum modified moduli. By flowing among theories we have calculated the precise modifications to the algebraic constraints that determine the moduli at the quantum level. We find a class of theories, those with a classical constraint that is covariant but not invariant under global symmetries, that have a singular modification to the moduli, which consists of a new branch.