Black Hole Monodromy and Conformal Field Theory

Abstract

The analytic structure of solutions to the Klein-Gordon equation in a black hole background, as represented by monodromy data, is intimately related to black hole thermodynamics. It encodes the "hidden conformal symmetry" of a non-extremal black hole, and it explains why features of the inner event horizon appear in scattering data such as greybody factors. This indicates that hidden conformal symmetry is generic within a universality class of black holes.

20 pages, v2 minor corrections, updated references

References in corpus (14)

• CFT Duals for Extreme Black Holes
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Cargese Lectures on the Kerr/CFT Correspondence
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Black Hole Scattering from Monodromy
• Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
• Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
• Note on Thermodynamics Method of Black Hole/CFT Correspondence
• Greybody factors at large imaginary frequencies
• Holographic Descriptions of Black Rings
• Electromagnetic Duality in Dyonic RN/CFT Correspondence
• RN/CFT Correspondence From Thermodynamics

Cited by in corpus (36)

• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• Black Hole Scattering from Monodromy
• Higher Spin Entanglement and W_N Conformal Blocks
• Kerr-de Sitter Greybody Factors via Isomonodromy
• Confluent conformal blocks and the Teukolsky master equation
• Warped Symmetries of the Kerr Black Hole
• Phase Transitions in Warped AdS${}_3$ Gravity
• Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits
• The Entropy Relations of Black Holes with Multihorizons in Higher Dimensions
• A Note on Entropy Relations of Black Hole Horizons
• Exploring the BTZ bulk with boundary conformal blocks
• The Entropy Sum of (A)dS Black Holes in Four and Higher Dimensions
• Holographic Probes of Inner Horizons
• Central Charges for AdS Black Holes
• Pair Production of Scalar Dyons in Kerr-Newman Black Holes
• Thermodynamic relations for entropy and temperature of multi-horizons black holes
• Thermodynamics in Black-hole/CFT Correspondence
• Massive scalar perturbations in Kerr Black Holes: near extremal analysis
• Love symmetry in higher-dimensional rotating black hole spacetimes
• Quasinormal ringing on the brane
• Wave Equation for the Wu Black Hole
• An Analysis of the Wave Equation for the $U(1{)}^2$ Gauged Supergravity Black Hole
• Connecting scattering, monodromy, and MST's renormalized angular momentum for the Teukolsky equation in Kerr spacetime
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• Echoes in the Kerr/CFT correspondence
• Emergent Black Hole Thermodynamics from Monodromy
• Classical Liouville Three-point Functions from Riemann-Hilbert Analysis
• Addentum to: Conformal Invariance and Near-extreme Rotating AdS Black Holes
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• CFT Duals for Black Rings and Black Strings
• Universal entropy relations: entropy formulae and entropy bound
• Quantization of horizon entropy and the thermodynamics of spacetime
• The Spectrum of Static Subtracted Geometries
• The integrability of Virasoro charges for axisymmetric Killing horizons
• Adiabatic evolution due to the conservative scalar self-force during orbital resonances