Kerr-Newman quasinormal modes and Seiberg-Witten theory

Abstract

It was recently suggested the quasinormal-mode spectrum of black holes is related to a class of four-dimensional $\mathcal{N}=2$ super Yang-Mills theories described by Seiberg-Witten curves, a proposal that has been tested for a number of black hole spacetimes. The aim of this study is to clarify the key ideas of this conjecture to a non-high-energy-physics audience and test it in a setting that has not yet been explored: the electromagnetic and gravitational perturbations of Kerr-Newman black holes in the Dudley-Finley approximation. In the parameter space we explore, we find numerical evidence that the conjecture is valid for subextremal black holes and its slowest damped quasinormal frequencies, thereby providing further support for the conjecture's validity. In addition, we exploit the symmetries of the four-dimensional $\mathcal{N}=2$ super Yang-Mills theory to obtain a strikingly simple isospectral version of the radial Dudley-Finley equation.

12 pages, 1 figure, 1 table. v2: New reference added. Matches published version

References in corpus (16)

• Scattering amplitudes over finite fields and multivariate functional reconstruction
• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• Linear mode stability of Kerr-Newman and its quasinormal modes
• Vanishing of black hole tidal Love numbers from scattering amplitudes
• QNMs of branes, BHs and fuzzballs from Quantum SW geometries
• The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes
• CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
• Modeling horizon absorption in spinning binary black holes using effective worldline theory
• Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole
• Black hole perturbation theory and multiple polylogarithms
• Investigating tidal heating in neutron stars via gravitational Raman scattering
• Quasinormal Modes of C-metric from SCFTs
• Hidden spectral symmetries and mode stability of subextremal Kerr(-dS) black holes
• Quasinormal modes of slowly rotating Kerr-Newman black holes using the double series method
• Duality between Seiberg-Witten Theory and Black Hole Superradiance
• Absorption cross section in gravity's rainbow from confluent Heun equation

Cited by in corpus (3)

• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation
• Analytic Computation of Dilaton Black Hole Quasinormal Modes via Seiberg-Witten Theory