Partially massless theory in three dimensions and self-dual massive gravity

TL;DR

This paper explores the relationship between partially massless theories and self-dual massive gravity in three dimensions, demonstrating how degrees of freedom are affected by Chern-Simons terms and connecting these concepts with topologically massive gravity.

Contribution

It explicitly shows the single scalar mode in the partially massless theory and links it to self-dual massive gravity, extending the understanding of these theories in (A)dS backgrounds.

Findings

Explicit scalar mode in partially massless theory

Connection between partially massless symmetry and topologically massive gravity

Alteration of degrees of freedom with Chern-Simons introduction

Abstract

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on (A)dS background. This fact can be generalized to higher dimensions. This degree of freedom is altered when a triadic Chern-Simons is introduced, giving rise to the self-dual massive gravity on (A)dS background. We present another physical system with partially massless symmetry and its connection with topologically massive gravity is discussed.