Fully extended BV-BFV description of General Relativity in three dimensions

Abstract

We compute the extension of the BV theory for three-dimensional General Relativity to all higher-codimension strata - boundaries, corners and vertices - in the BV-BFV framework. Moreover, we show that such extension is strongly equivalent to (nondegenerate) BF theory at all codimensions.

33 pages. Version 2: Improved readability, corrected typos

References in corpus (2)

• Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions
• Asymptotic symmetries in the BV-BFV formalism

Cited by in corpus (8)

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• Asymptotic symmetries in the BV-BFV formalism
• General Relativity and the AKSZ construction
• BV equivalence with boundary
• Gravity with torsion as deformed $BF$ theory
• Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism
• Double BFV quantisation of 3d Gravity
• 3D Supergravity in the Batalin-Vilkovisky Formalism