Central Charge for AdS_2 Quantum Gravity
High Energy Physics - Theory
2009-04-17 v1
Abstract
Two-dimensional Maxwell-dilaton quantum gravity on AdS_2 with radius and a constant electric field E is studied. In conformal gauge, this is equivalent to a CFT on a strip. In order to maintain consistent boundary conditions, the usual conformal diffeomorphisms must be accompanied by a certain U(1) gauge transformation. The resulting conformal transformations are generated by a twisted stress tensor, which has a central charge where k is the level of the U(1) current. This is an AdS_2 analog of the Brown-Henneaux formula for the central charge of quantum gravity on AdS_3.
Cite
@article{arxiv.0803.3621,
title = {Central Charge for AdS_2 Quantum Gravity},
author = {Thomas Hartman and Andrew Strominger},
journal= {arXiv preprint arXiv:0803.3621},
year = {2009}
}