Abstract
We consider the most general asymptotically anti-de Sitter boundary conditions in three-dimensional Einstein gravity with negative cosmological constant. The metric contains in total twelve independent functions, six of which are interpreted as chemical potentials (or non-normalizable fluctuations) and the other half as canonical boundary charges (or normalizable fluctuations). Their presence modifies the usual Fefferman-Graham expansion. The asymptotic symmetry algebra consists of two \( \mathfrak{s}\mathfrak{l}{(2)}_k \) current algebras, the levels of which are given by k = ℓ/(4G N ), where ℓ is the AdS radius and G N the three-dimensional Newton constant.
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Grumiller, D., Riegler, M. Most general AdS3 boundary conditions. J. High Energ. Phys. 2016, 23 (2016). https://doi.org/10.1007/JHEP10(2016)023
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DOI: https://doi.org/10.1007/JHEP10(2016)023