  We propose and study a new action for three-dimensional massive gravity. This
action takes a very simple form when written in terms of connection and triad
variables, but the connection can also be integrated out to obtain a triad
formulation. The quadratic action for the perturbations around a Minkowski
background reproduces the action of self-dual massive gravity, in agreement
with the expectation that the theory propagates a massive graviton. We confirm
this result at the non-linear level with a Hamiltonian analysis, and show that
this new theory does indeed possess a single massive degree of freedom. The
action depends on four coupling constants, and we identify the various massive
and topological (or massless) limits in the space of parameters. This richness,
along with the simplicity of the action, opens a very interesting new window
onto massive gravity.
