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arXiv · 0804.1773

One-loop Partition Functions of 3D Gravity

Simone Giombi·Alexander Maloney·Xi Yin
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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.

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Simone Giombi, Alexander Maloney, Xi Yin. 2008-04-10. One-loop Partition Functions of 3D Gravity. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F007

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