Partition Functions of ThreeDimensional Pure Gravity
Abstract
The threedimensional 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.
 Publication:

arXiv eprints
 Pub Date:
 October 2007
 arXiv:
 arXiv:0710.2129
 Bibcode:
 2007arXiv0710.2129Y
 Keywords:

 High Energy Physics  Theory
 EPrint:
 35 pages, 3 figures