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arxiv: 0901.1766 · v3 · submitted 2009-01-13 · ✦ hep-th · gr-qc

Massive Gravity in Three Dimensions

Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend This is my paper
classification ✦ hep-th gr-qc
keywords extensionmassiveactiondimensionsgravitythreeadmitsanti-de
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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.

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