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

2025/03/10 by Alberto S. Cattaneo, Cattaneo, Alberto S., Filippo Fila-Robattino +1 · 1 citation
Physics and Astronomy · #81T70 (Secondary) #83C47 #83E50 (Primary) #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2503.07373

openalex publication_date 2025/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Geometry of supergravity and the Batalin--Vilkovisky formulation of the \mathcal N=1 theory in ten dimensions

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