Exotic Massive 3D Gravity

Abstract: 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 bythird-way' consistency. There is a Chern-Simons-like' action, as for other 3D massive gravity models, but the new theory isexotic': 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 theMinimal Massive Gravity' alternative to `Topologically Massive Gravity'.