Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity

TL;DR

This paper classifies all gauge groups compatible with extended supersymmetry in three-dimensional Chern-Simons-matter theories coupled to supergravity, including supersymmetry enhancement and graviton mass determination.

Contribution

It provides a complete superspace classification of three-dimensional Chern-Simons-matter theories with supergravity for all extended supersymmetries up to 8, including gauge groups and supersymmetry enhancement analysis.

Findings

All possible gauge groups for         supersymmetry classified.

Explicit algebraic expression for graviton mass as a function of  and gauge couplings.

Discussion of supersymmetry enhancement mechanisms.

Abstract

For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gauge groups for a scalar multiplet allowed by the algebras of global and local supersymmetry in three dimensions. A detailed discussion of supersymmetry enhancement is included. For the corresponding topologically massive gravity with negative cosmological constant the mass of the graviton is determined algebraically as a function of $\mathcal{N}$ and the possible gauge couplings.