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CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
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CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
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Using conformal field theory and localization tecniques we study the propagation of waves in gravity backgrounds described by Schr\"odinger 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.
Forward citations
Cited by 15 Pith papers
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Universal Closed Form for Dynamical Love Numbers of Black Holes
Derives a universal closed-form expression for the dynamical response of Schwarzschild black holes using RG resummation and far-zone matching, verified via shell EFT to high orders.
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Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.
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5d Schwarzschild-Tangherlini spacetime: MST-like formalism for a Reduced Confluent Heun Equation
An original MST-like formalism is constructed for the reduced confluent Heun radial equation of 5D Schwarzschild-Tangherlini scalars, validated by matching the renormalized angular momentum to the quantum Seiberg-Witt...
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Gravitational waveforms from binaries in higher-derivative gravity: a Love story
Higher-derivative gravity corrections to binary gravitational waveforms and energy fluxes appear at 5PN order and scale universally with the black hole's ℓ=2 Love number.
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Gravitational waveforms from binaries in higher-derivative gravity: a Love story
In higher-derivative gravity, the leading correction to extreme-mass-ratio inspiral waveforms and fluxes enters at 5PN order and is controlled by the ℓ=2 tidal Love number.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of bulk scalars and Wilson-line displacement operators exhibit bouncing singularities at t_c=β/2(1+i) with matching WKB and asymptotic OPE data, implying a universal high-frequency factorization.
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From the confluent Heun equation to a new factorized and resummed gravitational waveform for circularized, nonspinning, compact binaries
A new resummation absorbs all test-mass logarithms and transcendental numbers into closed-form factors, leaving rational polynomial waveform corrections up to 10PN.
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5-Dimensional Gravitational Raman Scattering: Scalar Wave Perturbations in Schwarzschild-Tangherlini Spacetime
Derives closed 5D partial-wave Raman scattering amplitude via NS functions and computes non-vanishing dynamical ℓ=0 and static ℓ=1 scalar tidal Love numbers with RG running up to O(G²) for STBH.
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The radial action for massive particles in spherically symmetric geometries: Exact resummation at any PM order
The massive-particle radial action and scattering angle in Schwarzschild, Schwarzschild-Tangherlini and D3-brane geometries are resummed in hypergeometric/Fox-Wright form, and the massive scalar quantum a-cycle is ide...
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Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics
Angular eigenvalues of the extreme charged C-metric are computed analytically via a confluent limit of SU(2)×SU(2) quiver gauge theory, matching numerical results.
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5d Schwarzschild-Tangherlini spacetime: MST-like formalism for a Reduced Confluent Heun Equation
An MST-type analytic solution for the reduced confluent Heun equation of 5d Schwarzschild-Tangherlini scalar perturbations is constructed and its angular-momentum parameter matches the Seiberg-Witten value.
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Static electromagnetic Love tensors of 5-dimensional Myers-Perry black holes
Derives exact hypergeometric solutions for static perturbations of 5D Myers-Perry black holes and iteratively computes electromagnetic Love tensors showing lower-to-higher angular momentum mode mixing in the response.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
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"Waveforms" at the Horizon
A probe scattering off a Schwarzschild black hole transfers a definite leading-order post-Minkowskian angular momentum to the horizon, given by new closed formulas (3.24b), (3.29), (3.36).
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Ergodic Hysteresis of the Kerr black hole spectrum
Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.
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