Tweaking one-loop determinants in AdS${}_3$

Abstract

We revisit the subject of one-loop determinants in AdS${}_3$ gravity via the quasinormal 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.

36+18 pages

References in corpus (38)

• Quasinormal modes of black holes and black branes
• Geometry of the 2+1 Black Hole
• AdS/CFT Correspondence and Symmetry Breaking
• AdS3 Black Holes and a Stringy Exclusion Principle
• Quantum Gravity Partition Functions in Three Dimensions
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• Setting the boundary free in AdS/CFT
• One-loop Partition Functions of 3D Gravity
• Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions
• Warped Conformal Field Theory
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• New Boundary Conditions for AdS3
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• Most general AdS_3 boundary conditions
• Black hole determinants and quasinormal modes
• Enhanced asymptotic symmetry algebra of AdS3
• The Heat Kernel on AdS_3 and its Applications
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• AdS Description of Induced Higher-Spin Gauge Theory
• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Graviton 1-loop partition function for 3-dimensional massive gravity
• One-loop partition function of three-dimensional flat gravity
• A de Sitter Farey Tail
• An sl(2, R) current algebra from AdS_3 gravity
• Warped Weyl fermion partition functions
• Chiral Liouville Gravity
• Higher spin quasinormal modes and one-loop determinants in the BTZ black hole
• Free boundary conditions and the AdS${}_3$/CFT${}_2$ correspondence
• Quantum Topologically Massive Gravity in de Sitter Space
• Partition Functions in Even Dimensional AdS via Quasinormal Mode Methods
• One loop partition function from normal modes for $\mathcal{N}=1$ supergravity in AdS${}_3$
• Functional Determinant of the Massive Laplace Operator and the Multiplicative Anomaly
• Partition Functions with spin in AdS_2 via Quasinormal Mode Methods
• Computing black hole partition functions from quasinormal modes

Cited by in corpus (29)

• Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma
• Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension
• A note on the complex SYK model and warped CFTs
• Locality and anomalies in warped conformal field theory
• Kac-Moody and Virasoro Characters from the Perturbative Chern-Simons Path Integral
• Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms
• Warped Black Holes in Lower-Spin Gravity
• 2d Galilean Field Theories with Anisotropic Scaling
• Reflected Entropy in AdS${}_3$/WCFT
• Black Hole Horizon Edge Partition Functions
• Structure Constants from Modularity in Warped CFT
• Connecting quasinormal modes and heat kernels in 1-loop determinants
• Supersymmetric Warped Conformal Field Theory
• Rényi Mutual Information in Holographic Warped CFTs
• Gravitational Decoupling and Picard-Lefschetz
• BTZ one-loop determinants via the Selberg zeta function for general spin
• New Chiral Gravity
• Near-Extremal Limits of Warped Black Holes
• Normal modes in thermal AdS via the Selberg zeta function
• Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics
• A Selberg zeta function for warped AdS${}_3$ black holes
• Note on Bulk Reconstruction in AdS${}_3$/WCFT${}_2$
• Characters of irrelevant deformations
• Long Strings and Quasinormal Winding Modes
• Asymptotic Boundary Conditions and Square Integrability in the Partition Function of AdS Gravity
• Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity
• De Sitter Horizon Edge Partition Functions
• One-Loop Partition Function, Gauge Accessibility and Spectra in AdS${}_3$ Gravity
• Black hole one-loop determinants in the large dimension limit