The triadic description of general relativity in three dimensions is known to be a BF theory. Diffeomorphisms, as symmetries, are easily recovered 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.

BV equivalence between triadic gravity and BF theory in three dimensions

Schiavina M.
;
2018-01-01

Abstract

The triadic description of general relativity in three dimensions is known to be a BF theory. Diffeomorphisms, as symmetries, are easily recovered 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.
2018
Inglese
108
8
1873
1884
12
3d gravity; BF theory; BV formalism; Equivalence of field theories; Palatini theory; Topological field theories
3
info:eu-repo/semantics/article
262
Cattaneo, A. S.; Schiavina, M.; Selliah, I.
1 Contributo su Rivista::1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1487508
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