AdS_3 Partition Functions Reconstructed
High Energy Physics - Theory
2009-04-03 v2
Abstract
For pure gravity in AdS_3, Witten has given a recipe for the construction of holomorphically factorizable partition functions of pure gravity theories with central charge c=24k. The partition function was found to be a polynomial in the modular invariant j-function. We show that the partition function can be obtained instead as a modular sum which has a more physical interpretation as a sum over geometries. We express both the j-function and its derivative in terms of such a sum.
Keywords
Cite
@article{arxiv.0707.1159,
title = {AdS_3 Partition Functions Reconstructed},
author = {Jan Manschot},
journal= {arXiv preprint arXiv:0707.1159},
year = {2009}
}
Comments
9 pages