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

Alberto S. Cattaneo; Filippo Fila-Robattino

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

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arxiv 2503.07373 v2 pith:YKZWNFEZ submitted 2025-03-10 math-ph gr-qchep-thmath.MP

Alberto S. Cattaneo , Filippo Fila-Robattino This is my paper · ORCID

classification math-phgr-qchep-thmath.MP

keywords formulationsupergravityachievingactionadditionaddressedboundarychallenges

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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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3D Supergravity in the Batalin-Vilkovisky Formalism
hep-th 2024-12 conditional novelty 6.0 of 10

A BV action for 3D supergravity is obtained by proving the Rarita-Schwinger theory is symplectomorphic to a BF supergravity AKSZ theory.

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