Tweaking one-loop determinants in AdS3

A bstract We revisit the subject of one-loop determinants in AdS 3 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 whil...

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Bibliographic Details
Published in:The journal of high energy physics 2017-10, Vol.2017 (10), p.1-47, Article 70
Main Authors: Castro, Alejandra, Keeler, Cynthia, Szepietowski, Phillip
Format: Article
Language:English
Subjects:
2D Gravity
AdS-CFT Correspondence
Black Holes
Classical and Quantum Gravitation
Conformal Field Theory
Elementary Particles
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract We revisit the subject of one-loop determinants in AdS 3 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 AdS 3 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2017)070