Hamiltonian form of topologically massive supergravity

We construct a “Chern-Simons-like” action for $\mathcal{N}=1$ topologically massive supergravity from the Chern-Simons actions of $\mathcal{N}=1$ supergravity and conformal supergravity. We convert this action into Hamiltonian form and use this to demonstrate that the theory propagates a single massive $(2,\frac{3}{2})$ supermultiplet.