English

Massive Gravity in Three Dimensions

High Energy Physics - Theory 2009-07-10 v3 General Relativity and Quantum Cosmology

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

Keywords

Cite

@article{arxiv.0901.1766,
  title  = {Massive Gravity in Three Dimensions},
  author = {Eric A. Bergshoeff and Olaf Hohm and Paul K. Townsend},
  journal= {arXiv preprint arXiv:0901.1766},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T12:00:12.293Z