One-loop partition functions of 3D gravity

Simone Giombi, Alexander Maloney, Xi Yin

Research output: Contribution to journalArticle

121 Scopus citations

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 AdS 3, 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.

Original languageEnglish (US)
Article number007
JournalJournal of High Energy Physics
Volume2008
Issue number8
DOIs
StatePublished - Aug 1 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • AdS-CFT correspondence
  • Black holes
  • Models of quantum gravity

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