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

Alberto S. Cattaneo, Filippo Fila-Robattino

10/3/25 Published in : arXiv:2503.07373

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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