Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
Black Hole Quasinormal Modes and Seiberg-Witten Theory
13 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization conditions on quasinormal mode frequencies in terms of the Nekrasov partition function in a particular phase of the $\Omega$-background. Our quantization conditions also enable us to find exact expressions of eigenvalues of spin-weighted spheroidal harmonics. We test the validity of our conjecture by comparing against known numerical results for Kerr black holes as well as for Schwarzschild black holes. Some extensions are also discussed.
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representative citing papers
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.
Scalar quasinormal modes on pp-wave spacetimes show zero-temperature dissipation for d >= 3 via an irregular singular point acting as absorber, with exact non-dissipative spectrum for d=2 and gapped modes proven by reduction to Bessel equation.
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.
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.
A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.
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.
Finite-temperature quasinormal modes in SYK connect infinite-T Christmas-tree spectra to JT gravity and show monotonic relaxation-rate growth only at strong coupling.
A HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over prior packages by eliminating auxiliary parameters via analytic continuation and adaptive quadrature.
Exact WKB with high-order quantum period computations and Borel-Padé resummation reproduces quasinormal mode frequencies for extremal Reissner-Nordström and Kerr black holes.
Quasinormal-mode frequencies of extremal Reissner-Nordström black holes for charged and massive scalar fields are computed through Seiberg-Witten/Nekrasov-Shatashvili quantization.
Multiple microscopic methods confirm universality of AdS4 black hole entropy for non-extremal cases at high temperatures and show Hawking radiation rate proportional to horizon area.
Reassessment of the Dudley-Finley decoupling approximation for Kerr-Newman quasinormal modes with direct comparisons to the coupled system and new analysis of near-extremal zero-damped modes.
citing papers explorer
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Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
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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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Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation
Scalar quasinormal modes on pp-wave spacetimes show zero-temperature dissipation for d >= 3 via an irregular singular point acting as absorber, with exact non-dissipative spectrum for d=2 and gapped modes proven by reduction to Bessel equation.
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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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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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Resummation of Universal Tails in Gravitational Waveforms
A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.
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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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On the temperature dependence of quasinormal modes in SYK and holography
Finite-temperature quasinormal modes in SYK connect infinite-T Christmas-tree spectra to JT gravity and show monotonic relaxation-rate growth only at strong coupling.
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Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework
A HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over prior packages by eliminating auxiliary parameters via analytic continuation and adaptive quadrature.
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Exact WKB and Quantum Periods for Extremal Black Hole Quasinormal Modes
Exact WKB with high-order quantum period computations and Borel-Padé resummation reproduces quasinormal mode frequencies for extremal Reissner-Nordström and Kerr black holes.
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Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization
Quasinormal-mode frequencies of extremal Reissner-Nordström black holes for charged and massive scalar fields are computed through Seiberg-Witten/Nekrasov-Shatashvili quantization.
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Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS$_4$ Black Holes
Multiple microscopic methods confirm universality of AdS4 black hole entropy for non-extremal cases at high temperatures and show Hawking radiation rate proportional to horizon area.
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Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation
Reassessment of the Dudley-Finley decoupling approximation for Kerr-Newman quasinormal modes with direct comparisons to the coupled system and new analysis of near-extremal zero-damped modes.