One-loop Partition Functions of 3D Gravity
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CitationGiombi, Simone, Maloney, Alexander, and Xi Yin. 2008. One-loop partition functions of 3D gravity. Journal of High Energy Physics 2008(8): 007.
AbstractWe 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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