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We discuss an enhancement of the Brown-Henneaux boundary conditions inthree-dimensional AdS General Relativity to encompass Weyl transformations ofthe boundary metric. The resulting asymptotic symmetry algebra, after afield-dependent redefinition of the generators, is a direct sum of two copiesof the Witt algebra and the Weyl abelian sector. The charges associated to Weyltransformations are non-vanishing, integrable but not conserved due to a fluxdriven by the Weyl anomaly coefficient. The charge algebra admits an additionalnon-trivial central extension in the Weyl sector, related to the well-knownWeyl anomaly. We then construct the holographic Weyl current and show that itsatisfies an anomalous Ward-Takahashi identity of the boundary theory.

Weyl Charges in Asymptotically Locally AdS$_3$ Spacetimes