An sl(2,R\mathbb{R}) current algebra from AdS3AdS_3 gravity

Apr 15, 2013
9 pages
Published in:
  • JHEP 01 (2014) 144
  • Published: 2014
e-Print:

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Abstract: (arXiv)
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.
Note:
  • 8 pages
  • AdS-CFT Correspondence
  • 2D Gravity
  • Gauge Symmetry
  • Space-Time Symmetries
  • anti-de Sitter
  • gravitation
  • boundary condition
  • symmetry
  • current: SL(2,R)
  • space-time: AdS(3)