The Brown-Henneaux's central charge from the path-integral boundary condition
High Energy Physics - Theory
2009-10-31 v2 General Relativity and Quantum Cosmology
Abstract
We derive Brown-Henneaux's commutation relation and central charge in the framework of the path integral. If we use the leading part of the asymptotic symmetry to derive the Ward-Takahashi identity, we can see the central charge arises from the fact that the boundary condition of the path integral is not invariant under the transformation.
Keywords
Cite
@article{arxiv.hep-th/0011010,
title = {The Brown-Henneaux's central charge from the path-integral boundary condition},
author = {Hiroaki Terashima},
journal= {arXiv preprint arXiv:hep-th/0011010},
year = {2009}
}
Comments
10 pages, sign errors in Eq.(18) are corrected, accepted for publication in Phys. Lett. B