Gauged locally supersymmetric D=3 nonlinear sigma models

TL;DR

This paper develops a comprehensive classification of three-dimensional gauged supergravity models by extending nonlinear sigma models with supersymmetric deformations, Chern-Simons terms, and gauged isometries, including Yang-Mills and topological mass terms.

Contribution

It introduces a general framework for constructing gauged supergravities in three dimensions, encompassing various known models and new deformations.

Findings

Includes theories with standard Yang-Mills Lagrangians

Incorporates models with topological mass terms

Provides a classification of three-dimensional gauged supergravities

Abstract

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model isometries, possibly augmented with R-symmetry transformations. This class of models is shown to include theories with standard Yang-Mills Lagrangians, with optional moment interactions and topological mass terms. The results constitute a general classification of three-dimensional gauged supergravities.