A BV action for 3D supergravity is obtained by proving the Rarita-Schwinger theory is symplectomorphic to a BF supergravity AKSZ theory.
BV description of $N = 1$, $D = 4$ Supergravity in the first order formalism
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This note examines the BV formulation of $N=1$, $D=4$ supergravity in the first-order Palatini--Cartan framework. Challenges in achieving an off-shell formulation are addressed by introducing corrections to the rank 2 BV action, offering in addition a solid foundation for the study of the theory on manifolds with boundary.
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3D Supergravity in the Batalin-Vilkovisky Formalism
A BV action for 3D supergravity is obtained by proving the Rarita-Schwinger theory is symplectomorphic to a BF supergravity AKSZ theory.