Lobachevsky holography in conformal Chern-Simons gravity
Abstract
We propose Lobachevsky boundary conditions that lead to asymptotically H^2xR solutions. As an example we check their consistency in conformal Chern-Simons gravity. The canonical charges are quadratic in the fields, but nonetheless integrable, conserved and finite. The asymptotic symmetry algebra consists of one copy of the Virasoro algebra with central charge c=24k, where k is the Chern-Simons level, and an affine u(1). We find also regular non-perturbative states and show that none of them corresponds to black hole solutions. We attempt to calculate the one-loop partition function, find a remarkable separation between bulk and boundary modes, but conclude that the one-loop partition function is ill-defined due to an infinite degeneracy. We comment on the most likely resolution of this degeneracy.
Keywords
Cite
@article{arxiv.1212.3335,
title = {Lobachevsky holography in conformal Chern-Simons gravity},
author = {Mario Bertin and Sabine Ertl and Hossein Ghorbani and Daniel Grumiller and Niklas Johansson and Dmitri Vassilevich},
journal= {arXiv preprint arXiv:1212.3335},
year = {2013}
}
Comments
24 pp, v2: expanded footnote 1; added Killing vectors (2.8), (2.9); added subsection 5.4 on Lobachevsky/field theory map