A spin-4 analog of 3D massive gravity
  A 6th-order, but ghost-free, gauge-invariant action is found for a 4th-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 5th- and 8th-order respectively. 
Eric A. Bergshoeff, Marija Kovacevic, Jan Rosseel, Paul K. Townsend   and Yihao Yin
hep-th