Massive Gravity in Three Dimensions

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 $\mathcal{N}$-extended supergravity, and we present a `cosmological' extension that admits an anti-de Sitter vacuum.

Minor corrections plus a further correction to discussion of supersymmetry in adS vacua, Version to be published

References in corpus (1)

• Dual descriptions of spin two massive particles in $D=2+1$ via master actions

Cited by in corpus (17)

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• Note on New Massive Gravity in $Ad{S}_3$
• On the Generalized Massive Gravity in $Ad{S}_3$
• Renormalizability of Massive Gravity in Three Dimensions
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Generalized uncertainty principle and Hořava-Lifshitz gravity
• Massive Gravity with Mass Term in Three Dimensions
• A new spin-2 self-dual model in $D=2+1$
• Generalized soldering of $\pm 2$ helicity states in $D=2+1$
• Kundt spacetimes of massive gravity in three dimensions
• Topologically massive gravity on AdS${}_2$ spacetimes
• Renormalizability of Topologically Massive Gravity