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29 March 2024
 
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Effective Action, Boundary Conditions, and Virasoro Algebra for AdS$_3$
Achilleas P. Porfyriadis ; Frank Wilczek ;
Date 7 Jul 2010
AbstractWe construct, to second order, the effective action of General Relativity for small excitations generated by a vector field and use it to study conformal symmetry in the boundary of AdS$_3$. By requiring finiteness of the boundary effective action(s) for certain asymptotic transformations, we derive the well-known Virasoro algebra and central charge associated with the boundary of AdS$_3$. The bulk action for these transformations can be arbitrarily small.
Source arXiv, 1007.1031
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