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