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1/c deformations of AdS$_3$ boundary conditions and the Dym hierarchy (2401.12338v2)

Published 22 Jan 2024 in hep-th and gr-qc

Abstract: This work introduces a novel family of boundary conditions for AdS$_3$ General Relativity, constructed through a polynomial expansion in negative integer powers of the Brown-Henneaux central charge. The associated dynamics is governed by the Dym hierarchy of integrable equations. It is shown that the infinite set of Dym conserved charges generates an abelian asymptotic symmetry group. Additionally, these boundary conditions encompass black hole solutions, whose thermodynamic properties are examined.

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