English

On-shell versus Off-shell Equivalence in 3D Gravity

High Energy Physics - Theory 2019-05-22 v2

Abstract

A given field theory action determines a set of field equations but other actions may yield equivalent field equations; if so they are on-shell equivalent. They may also be off-shell equivalent, being related by the elimination of auxiliary fields or by local field redefinitions, but this is not guaranteed, as we demonstrate by consideration of the linearized limit of 3D massive gravity models. Failure to appreciate this subtlety has led to incorrect conclusions in recent studies of the "Minimal Massive Gravity" model.

Keywords

Cite

@article{arxiv.1812.09205,
  title  = {On-shell versus Off-shell Equivalence in 3D Gravity},
  author = {Eric Bergshoeff and Wout Merbis and Paul Townsend},
  journal= {arXiv preprint arXiv:1812.09205},
  year   = {2019}
}

Comments

17 pages, published version

R2 v1 2026-06-23T06:53:45.641Z