The Hamiltonian Form of Topologically Massive Supergravity

TL;DR

This paper develops a Hamiltonian formulation of N=1 Topologically Massive Supergravity, showing it propagates a single massive supermultiplet, by constructing a Chern-Simons-like action from known supergravity theories.

Contribution

It introduces a novel Hamiltonian form for the theory and demonstrates the propagation of a specific massive supermultiplet, advancing understanding of supergravity models.

Findings

Successfully constructed a Hamiltonian form of the theory.

Proved the theory propagates a single massive supermultiplet.

Connected Chern-Simons actions to supergravity dynamics.

Abstract

We construct a "Chern-Simons-like" action for N=1 Topologically Massive Supergravity from the Chern-Simons actions of 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, 3/2) supermultiplet.