BV-equivalence between triadic gravity and BF theory in three dimensions
Mathematical Physics
2019-10-30 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Symplectic Geometry
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.
Cite
@article{arxiv.1707.07764,
title = {BV-equivalence between triadic gravity and BF theory in three dimensions},
author = {Alberto S. Cattaneo and Michele Schiavina and Iswaryaa Selliah},
journal= {arXiv preprint arXiv:1707.07764},
year = {2019}
}