Symmetries and Charges in Weyl-Fefferman-Graham Gauge
High Energy Physics - Theory
2023-12-15 v2 General Relativity and Quantum Cosmology
Abstract
We investigate the asymptotic symmetries of three-dimensional AdS Einstein gravity in the Weyl-Fefferman-Graham gauge, which is a generalization of the Fefferman-Graham gauge inducing a Weyl connection as part of the boundary structure. We show that this gauge arises as a natural intermediary step of the gauge-fixing procedure in the Chern-Simons formulation. We prove that the diffeomorphism required to go to the usual Fefferman-Graham gauge can be charged, and thus its implementation has physical repercussions. We discuss the holographic renormalization and the variational principle offering a new holographic take on this gauge and its charges.
Keywords
Cite
@article{arxiv.2308.15480,
title = {Symmetries and Charges in Weyl-Fefferman-Graham Gauge},
author = {Luca Ciambelli and Arnaud Delfante and Romain Ruzziconi and Céline Zwikel},
journal= {arXiv preprint arXiv:2308.15480},
year = {2023}
}
Comments
33 pages, minor corrections, published version