BV description of $N = 1$, $D = 4$ Supergravity in the first order formalism

Published 10 Mar 2025 in math-ph, gr-qc, hep-th, and math.MP | (2503.07373v2)

Abstract: 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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