Massive Gravity in Three Dimensions
Eric A. Bergshoeff, Olaf Hohm, Paul K. Townsend
TL;DR
The extension to massive N-extended supergravity is discussed, the "cosmological" extension that admits an anti-de Sitter vacuum is presented, and a more general model propagates the two spin-2 helicity states with different masses.
Abstract
A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model, which also includes `topologically-massive' gravity as a special case, propagates the two spin 2 helicity states with different masses. We discuss the extension to massive ${\cal N}$-extended supergravity, and we present a `cosmological' extension that admits an anti-de Sitter vacuum.