Three-dimensional AdS gravity and extremal CFTs at c=8m
Abstract
We note that Witten's proposed duality between extremal c=24k CFTs and three-dimensional anti-de Sitter gravity may possibly be extended to central charges that are multiples of 8, for which extremal self-dual CFTs are known to exist up to c=40. All CFTs of this type with central charge 24 or higher, provided that they exist, have the required mass gap and may serve as candidate duals to three-dimensional gravity at the corresponding values of the cosmological constant. Here, we compute the genus one partition function of these theories up to c=88, we give exact and approximate formulas for the degeneracies of states, and we determine the genus two partition functions of the theories up to c=40.
Keywords
Cite
@article{arxiv.0708.3386,
title = {Three-dimensional AdS gravity and extremal CFTs at c=8m},
author = {Spyros D. Avramis and Alex Kehagias and Constantina Mattheopoulou},
journal= {arXiv preprint arXiv:0708.3386},
year = {2009}
}
Comments
17 pages, harvmac; v2: references added, version accepted in JHEP