Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2017)070
Keywords
AdS-CFT Correspondence; Black Holes; 2D Gravity; Conformal Field Theory
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Funding
- Dutch Ministry of Education, Culture and Science (OCW)
- National Science Foundation [PHY-1607611]
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO) via a Vidi grant
- European Union's Horizon research and innovation programme under the Marie Sklodowska-Curie grant [656900]
- Danish National Research Foundation project New horizons in particle and condensed matter physics from black holes
- Marie Curie Actions (MSCA) [656900] Funding Source: Marie Curie Actions (MSCA)
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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.
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