BV-BFV approach to General Relativity, Einstein-Hilbert action

Abstract

The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any $d+1\ne 2$ (pseudo-) Riemannian manifold M with space-like or time-like boundary components, the BV data on the bulk induces compatible BFV data on the boundary. As a byproduct, the usual canonical formulation of general relativity is recovered in a straightforward way.

16 pages

References in corpus (2)

• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
• Perturbative quantum gauge theories on manifolds with boundary

Cited by in corpus (14)

• The reduced phase space of Palatini-Cartan-Holst theory
• Asymptotic symmetries in the BV-BFV formalism
• Towards holography in the BV-BFV setting
• On time
• $L_{\infty }$-Algebras of Einstein-Cartan-Palatini Gravity
• BV-equivalence between triadic gravity and BF theory in three dimensions
• General Relativity and the AKSZ construction
• BV equivalence with boundary
• The quasilocal degrees of freedom of Yang-Mills theory
• Abelianized structures in spherically symmetric hypersurface deformations
• Gravitational Constraints on a Lightlike boundary
• BV analysis of Polyakov and Nambu-Goto theories with boundary
• Double BFV quantisation of 3d Gravity
• Covariant quantization of the Einstein-Hilbert theory in first-order form