BV Pushforward of Palatini-Cartan gravity

2025/07/08 by G. Canepa, Canepa, Giovanni, Alberto S. Cattaneo +1
Physics and Astronomy · #81T70 (Secondary) #83C05 #83C47 (primary) #Advanced Differential Geometry Research #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) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2507.06279

openalex publication_date 2025/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of this note is to show that the standard BV formulation of gravity in the Palatini-Cartan formalism is equivalent, using a BV pushforward, to an AKSZ-like version compatible with BFV data on the boundary.

Citations

• 4D Palatini-Cartan Gravity in Hamiltonian Form
• On the properties of coframes
• Lectures on Batalin-Vilkovisky formalism and its applications in topological quantum field theory
• Discrete BF theory

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• BV description of N = 1, D = 4 Supergravity in the first order formalism
• Palatini Approach Beyond Einstein's Gravity
• Palatini formulation of L(R) gravity
• 4D Palatini-Cartan Gravity in Hamiltonian Form
• The Palatini formalism of the f(R,L_m,T) theory of gravity