CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses

Abstract

Using conformal field theory and localization tecniques we study the propagation of waves in gravity backgrounds described by Schrödinger like equations with Fuchsian singularities. Exact formulae for the connection matrices relating the asymptotic behaviour of the wave functions near the singularities are obtained in terms of braiding and fusion rules of the CFT. The results are applied to the study of quasi normal modes, absorption cross sections, amplification factors, echoes and tidal responses of black holes (BH) and exotic compact objects (ECO) in four and five dimensions. In particular, we propose a definition of dynamical Love numbers in gravity.

32 pages, references and explanations added to match the referee's observations

References in corpus (27)

• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Relativistic theory of tidal Love numbers
• Tests for the existence of horizons through gravitational wave echoes
• A recipe for echoes from exotic compact objects
• Tidal Deformation and Dissipation of Rotating Black Holes
• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• On the Vanishing of Love Numbers for Kerr Black Holes
• Static response and Love numbers of Schwarzschild black holes
• Deforming SW curve
• Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
• Distinguishing fuzzballs from black holes through their multipolar structure
• A New Window into Black Holes
• QNMs of branes, BHs and fuzzballs from Quantum SW geometries
• Black-hole microstate spectroscopy: ringdown, quasinormal modes, and echoes
• Black Holes Lessons from Multipole Ratios
• Gravitational Footprints of Black Holes and Their Microstate Geometries
• The multipolar structure of fuzzballs
• Fuzzballs and Observations
• Gravitational wave echoes from black holes in massive gravity
• Isomonodromy, Painlevé Transcendents and Scattering off of Black Holes
• Chaos at the rim of black hole and fuzzball shadows
• Love numbers and magnetic susceptibility of charged black holes
• Turning black-holes and D-branes inside out their photon-spheres
• Geometric polarization of plasmas and Love numbers of AdS black branes
• Light rings of five-dimensional geometries
• $QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling
• Recursion relation for instanton counting for $SU(2)$ $\mathcal{N}=2$ SYM in NS limit of $\Omega$ background

Cited by in corpus (19)

• Holographic thermal correlators from supersymmetric instantons
• Modelling frequency-dependent tidal deformability for environmental black-hole mergers
• Black hole perturbation theory and multiple polylogarithms
• Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
• Perturbative connection formulas for Heun equations
• Imaging Topological Solitons: the Microstructure Behind the Shadow
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• Quasinormal Modes of C-metric from SCFTs
• Quasinormal Modes and Love Numbers of Kerr Black Holes from AdS${}_2$ Black Holes
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Expansions for semiclassical conformal blocks
• Absorption cross section in gravity's rainbow from confluent Heun equation
• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
• Quantum Mechanics from General Relativity and the Quantum Friedmann Equation
• Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry
• Ergodic Hysteresis of the Kerr black hole spectrum