Tweaking one-loop determinants in AdS3

Alejandra Castro, Cynthia Keeler, Phillip Szepietowski

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We revisit the subject of one-loop determinants in AdS3 gravity via the quasi-normal mode method. Our goal is to evaluate a one-loop determinant with chiral boundary conditions for the metric field; chirality is achieved by imposing Dirichlet boundary conditions on certain components while others satisfy Neumann. Along the way, we give a generalization of the quasinormal mode method for stationary (non-static) thermal backgrounds, and propose a treatment for Neumann boundary conditions in this framework. We evaluate the graviton one-loop determinant on the Euclidean BTZ background with parity-violating boundary conditions (CSS), and find excellent agreement with the dual warped CFT. We also discuss a more general falloff in AdS3 that is related to two dimensional quantum gravity in lightcone gauge. The behavior of the ghost fields under both sets of boundary conditions is novel and we discuss potential interpretations.

Original languageEnglish (US)
Article number70
JournalJournal of High Energy Physics
Volume2017
Issue number10
DOIs
StatePublished - Oct 1 2017
Externally publishedYes

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determinants
boundary conditions
gravitation
gravitons
ghosts
chirality
parity

Keywords

  • 2D Gravity
  • AdS-CFT Correspondence
  • Black Holes
  • Conformal Field Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Tweaking one-loop determinants in AdS3 . / Castro, Alejandra; Keeler, Cynthia; Szepietowski, Phillip.

In: Journal of High Energy Physics, Vol. 2017, No. 10, 70, 01.10.2017.

Research output: Contribution to journalArticle

Castro, Alejandra ; Keeler, Cynthia ; Szepietowski, Phillip. / Tweaking one-loop determinants in AdS3 In: Journal of High Energy Physics. 2017 ; Vol. 2017, No. 10.
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