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arXiv · 0912.2944

On massive gravitons in 2+1 dimensions

Eric Bergshoeff·Olaf Hohm·Paul Townsend
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Abstract

The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive gravity" (NMG), with an action that involves curvature-squared terms. Another is 3D "bigravity", which involves non-linear couplings of the FP tensor field to 3D Einstein-Hilbert gravity. We review the proof of the linearized equivalence of both "massive 3D gravity" theories to FP theory, and we comment on their similarities and differences.

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Eric Bergshoeff, Olaf Hohm, Paul Townsend. 2009-12-22. On massive gravitons in 2+1 dimensions. https://doi.org/10.1088/1742-6596%2F229%2F1%2F012005

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