A sixth-order, but ghost-free, gauge-invariant action is found for a fourth-rank symmetric tensor potential in a three-dimensional (3D) Minkowski spacetime. It propagates two massive modes of spin 4 that are interchanged by parity and is thus a spin-4 analog of linearized new massive gravity. Also found are ghost-free spin-4 analogs of linearized topologically massive gravity and new topologically massive gravity, of fifth and eighth order, respectively.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)