One-loop Partition Functions of 3D Gravity
High Energy Physics - Theory
2009-12-04 v1
Abstract
We consider the one-loop partition function of free quantum field theory in locally Anti-de Sitter space-times. In three dimensions, the one loop determinants for scalar, gauge and graviton excitations are computed explicitly using heat kernel techniques. We obtain precisely the result anticipated by Brown and Henneaux: the partition function includes a sum over "boundary excitations" of AdS3, which are the Virasoro descendants of empty Anti-de Sitter space. This result also allows us to compute the one-loop corrections to the Euclidean action of the BTZ black hole as well its higher genus generalizations.
Cite
@article{arxiv.0804.1773,
title = {One-loop Partition Functions of 3D Gravity},
author = {Simone Giombi and Alexander Maloney and Xi Yin},
journal= {arXiv preprint arXiv:0804.1773},
year = {2009}
}
Comments
28 pages