BV-equivalence between triadic gravity and BF theory in three dimensions

Abstract

The triadic description of General Relativity in three dimensions is known to be a BF theory. Diffeomorphisms, as symmetries, are easily re- covered on shell from the symmetries of BF theory. This note describes an explicit off-shell BV symplectomorphism between the BV versions of the two theories, each endowed with their natural symmetries.

References in corpus (3)

• The reduced phase space of Palatini-Cartan-Holst theory
• BV-BFV approach to General Relativity, Einstein-Hilbert action
• Some reference formulas for the generating functions of canonical transformations

Cited by in corpus (8)

• The reduced phase space of Palatini-Cartan-Holst theory
• Towards holography in the BV-BFV setting
• $L_{\infty }$-Algebras of Einstein-Cartan-Palatini Gravity
• General Relativity and the AKSZ construction
• BV equivalence with boundary
• Gravity with torsion as deformed $BF$ theory
• Double BFV quantisation of 3d Gravity
• 3D Supergravity in the Batalin-Vilkovisky Formalism