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

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.

17 pages, published version

References in corpus (5)

• Massive Gravity in Three Dimensions
• Exotic Massive 3D Gravity
• Yang-Mills as massive Chern-Simons theory: a third way to three-dimensional gauge theories
• Bachian Gravity in Three Dimensions
• Soft hairy warped black hole entropy

Cited by in corpus (7)

• Exotic massive 3D gravities from truncation
• On asymptotic charges in 3D gravity
• Stringy (Galilei) Newton-Hooke Chern-Simons Gravities
• The Third Way to Interacting $p$-form Theories
• Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
• Metric formulation of the simple theory of 3d massive gravity
• Perturbative Unitarity Calls for An Action