AdS_3 Partition Functions Reconstructed

Details AdS_3 Partition Functions Reconstructed AdS_3 Partition Functions Reconstructed

2007-07-08

arxiv.org/abs/0707.1159v2

JHEP 0710:103,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1088/1126-6708/2007/10/103

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.

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