%0 Journal Article %1 Porfyriadis2010Effective %A Porfyriadis, Achilleas P. %A Wilczek, Frank %D 2010 %K arxiv, btz, hcs %T Effective Action, Boundary Conditions, and Virasoro Algebra for AdS\$\_3\$ %U http://arxiv.org/abs/1007.1031 %X We 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.

@article{Porfyriadis2010Effective, abstract = {{We 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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Porfyriadis, Achilleas P. and Wilczek, Frank}, biburl = {https://www.bibsonomy.org/bibtex/2b41b417dcfd2d1551617a5cade499b8d/acastro}, citeulike-article-id = {7427940}, citeulike-linkout-0 = {http://arxiv.org/abs/1007.1031}, citeulike-linkout-1 = {http://arxiv.org/pdf/1007.1031}, day = 7, eprint = {1007.1031}, interhash = {3c0f37398d174078b511d9b4c83cd7ec}, intrahash = {b41b417dcfd2d1551617a5cade499b8d}, keywords = {arxiv, btz, hcs}, month = jul, posted-at = {2010-07-08 13:14:58}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Effective Action, Boundary Conditions, and Virasoro Algebra for AdS\$\_3\$}}, url = {http://arxiv.org/abs/1007.1031}, year = 2010 }