The Reduced Phase Space of $N=1, D=4$ Supergravity in the BV-BFV formalism

Fuente: arXiv
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Autores principales: Cattaneo, Alberto S., Fila-Robattino, Filippo
Formato: Preprint
Publicado: 2026
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author Cattaneo, Alberto S.
Fila-Robattino, Filippo
author_facet Cattaneo, Alberto S.
Fila-Robattino, Filippo
contents This paper describes the reduced phase space of $N=1$, $D=4$ supergravity in the fully off-shell Palatini--Cartan formalism. This is achieved through the KT construction, allowing an explicit description of first-class constraints on the boundary. The corresponding BFV description is obtained, and its relation with the BV one in the bulk is described by employing the BV pushforward in the particular example of a cylindrical spacetime.
format Preprint
id arxiv_https___arxiv_org_abs_2601_13025
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Reduced Phase Space of $N=1, D=4$ Supergravity in the BV-BFV formalism
Cattaneo, Alberto S.
Fila-Robattino, Filippo
Mathematical Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
83E50 (Primary), 83C47, 81T70 (Secondary)
This paper describes the reduced phase space of $N=1$, $D=4$ supergravity in the fully off-shell Palatini--Cartan formalism. This is achieved through the KT construction, allowing an explicit description of first-class constraints on the boundary. The corresponding BFV description is obtained, and its relation with the BV one in the bulk is described by employing the BV pushforward in the particular example of a cylindrical spacetime.
title The Reduced Phase Space of $N=1, D=4$ Supergravity in the BV-BFV formalism
topic Mathematical Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
83E50 (Primary), 83C47, 81T70 (Secondary)
url https://arxiv.org/abs/2601.13025