English

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

Mathematical Physics 2025-03-12 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

Abstract

This note examines the BV formulation of N=1N=1, D=4D=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.

Keywords

Cite

@article{arxiv.2503.07373,
  title  = {BV description of $N = 1$, $D = 4$ Supergravity in the first order formalism},
  author = {Alberto S. Cattaneo and Filippo Fila-Robattino},
  journal= {arXiv preprint arXiv:2503.07373},
  year   = {2025}
}

Comments

LaTeX, 32 pages. Title corrected