Advances in Theoretical and Mathematical Physics

Volume 26 (2022)

Number 3

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

Pages: 595 – 642

DOI: https://dx.doi.org/10.4310/ATMP.2022.v26.n3.a2

Authors

G. Canepa (Institut für Mathematik, Universität Zürich, Switzerland; and Centre de Physique Théorique, Marseille, France)

M. Schiavina (Institute for Theoretical Physics, ETH Zürich, Switzerland; Department of Mathematics, ETH Zürich, Switzerland; and Department of Mathematics, University of Pavia, Italy)

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.

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G.C. acknowledges partial support of SNF Grant No. 200020 172498/1. His research was (partly) supported by the NCCR SwissMAP, funded by the Swiss National Science Foundation, and by the COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). M.S. acknowledges partial support from Swiss National Science Foundation grants P2ZHP2 164999 and P300P2 177862.

Published 22 February 2023