New Boundary Conditions for AdS3
High Energy Physics - Theory
2015-06-15 v1 General Relativity and Quantum Cosmology
Abstract
New chiral boundary conditions are found for quantum gravity with matter on AdS3. The associated asymptotic symmetry group is generated by a single right-moving U(1) Kac-Moody-Virasoro algebra with c_R = 3l/2G. The Kac-Moody zero mode generates global left-moving translations and equals, for a BTZ black hole, the sum of the total mass and spin. The level is positive about the global vacuum and negative in the black hole sector, corresponding to ergosphere formation. Realizations arising in Chern-Simons gravity and string theory are analyzed. The new boundary conditions are shown to naturally arise for warped AdS3 in the limit that the warp parameter is taken to zero.
Cite
@article{arxiv.1303.2662,
title = {New Boundary Conditions for AdS3},
author = {Geoffrey Compère and Wei Song and Andrew Strominger},
journal= {arXiv preprint arXiv:1303.2662},
year = {2015}
}
Comments
34 pages