Most general AdS_3 boundary conditions
arXiv:1608.01308 · doi:10.1007/JHEP10(2016)023
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 sl(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.
22 pp, v2: added refs. and subsection 4.4, v3: added two footnotes, v4: corrected minor misprints