Exotic massive 3D gravity

The linearized equations of New Massive Gravity propagate a parity doublet of massive spin-2 modes in 3D Minkowski spacetime, but a different non-linear extension is made possible by third-way consistency. There is a Chern-Simons-like action, as for other 3D massive gravity models, but the new theory is exotic: its action is parity odd. This Exotic Massive Gravity is the next-to-simplest case in an infinite sequence of third-way consistent 3D gravity theories, the simplest being the Minimal Massive Gravity alternative to Topologically Massive Gravity.