English

On massive gravitons in 2+1 dimensions

High Energy Physics - Theory 2014-11-20 v2

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.

Keywords

Cite

@article{arxiv.0912.2944,
  title  = {On massive gravitons in 2+1 dimensions},
  author = {Eric Bergshoeff and Olaf Hohm and Paul Townsend},
  journal= {arXiv preprint arXiv:0912.2944},
  year   = {2014}
}

Comments

6 pages, to appear in the proceedings of the Spanish Relativity Meeting ERE2009, Bilbao; minor changes, reference added

R2 v1 2026-06-21T14:24:10.597Z