Giombi, SimoneMaloney, AlexanderYin, Xi2012-01-062008Giombi, Simone, Maloney, Alexander, and Xi Yin. 2008. One-loop partition functions of 3D gravity. Journal of High Energy Physics 2008(8): 007.1029-8479http://nrs.harvard.edu/urn-3:HUL.InstRepos:6895879We 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.en-USblack holesmodels of quantum gravityAdS-CFT correspondencedS-CFT correspondenceJournal Article2012-01-0610.1088/1126-6708/2008/08/007