Mixed Symmetries of SPT Phases

TL;DR

This paper proposes that a comprehensive symmetry-based description of SPT phases should incorporate topological twist fields, enabling predictions of outcomes when gauging symmetries.

Contribution

It introduces the inclusion of topological twist fields in the symmetry description of SPT phases, enhancing predictive power for gauging symmetries.

Findings

Inclusion of topological twist fields improves understanding of SPT phases.

Predicts outcomes of gauging symmetries in SPT theories.

Provides a framework for symmetry-based analysis of topological phases.

Abstract

Symmetry Protected Topological (SPT) phases describe trivially-acting symmetries. We argue that a symmetry-based description of SPT phases ought to include the topological twist fields associated to the symmetry. Doing so allows us to predict the results of gauging part or all of the symmetries of these theories.