An sl(2, R) current algebra from AdS_3 gravity
High Energy Physics - Theory
2015-06-15 v1
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.
Cite
@article{arxiv.1304.4252,
title = {An sl(2, R) current algebra from AdS_3 gravity},
author = {Steven G. Avery and Rohan R. Poojary and Nemani V. Suryanarayana},
journal= {arXiv preprint arXiv:1304.4252},
year = {2015}
}
Comments
8 pages