Partition Functions of Three-Dimensional Pure Gravity

Details Partition Functions of Three-Dimensional Pure Gravity Partition Functions of Three-Dimensional Pure Gravity

2007-10-10

arxiv.org/abs/0710.2129v2

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 3 figures

Scientific paper

The three-dimensional pure quantum gravity with a negative cosmological constant has been conjectured to be dual to an extremal conformal field theory (ECFT), of central charge c=24k for some positive integer k. We compute the partition function of the dual ECFT by summing over gravitational instanton contributions. In particular, we conjecture an exact expression for the contribution from handlebodies to the partition function for all genera and all values of k, and provide nontrivial evidences for the conjecture at genus two.

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