An sl(2, R) current algebra from AdS_3 gravity

Abstract

We provide a set of chiral boundary conditions for three-dimensional gravity that allow for asymptotic symmetries identical to those of two-dimensional induced gravity in light-cone gauge considered by Polyakov. These are the most general boundary conditions consistent with the boundary terms introduced by Compere, Song and Strominger recently. We show that the asymptotic symmetry algebra of our boundary conditions is an sl(2,R) current algebra with level given by c/6. The fully non-linear solution in Fefferman--Graham coordinates is also provided along with its charges.

8 pages

References in corpus (6)

• Setting the boundary free in AdS/CFT
• Surface charge algebra in gauge theories and thermodynamic integrability
• New Boundary Conditions for AdS3
• Enhanced asymptotic symmetry algebra of AdS3
• The Spectrum of Strings on Warped AdS_3 x S^3
• Chiral Liouville Gravity

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