One-loop Partition Functions of 3D Gravity

Details One-loop Partition Functions of 3D Gravity One-loop Partition Functions of 3D Gravity

2008-04-10

arxiv.org/abs/0804.1773v1

JHEP 0808:007,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

10.1088/1126-6708/2008/08/007

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.

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