Quasinormal Modes of C-metric from SCFTs

Abstract

We study the quasinormal modes (QNM) of the charged C-metric, which physically stands for a charged accelerating black hole, with the help of Nekrasov's partition function of 4d $\mathcal{N}=2$ superconformal field theories (SCFTs). The QNM in the charged C-metric are classified into three types: the photon-surface modes, the accelerating modes and the near-extremal modes, and it is curious how the single quantization condition proposed in arXiv:2006.06111 can reproduce all the different families. We show that the connection formula encoded in terms of Nekrasov's partition function captures all these families of QNM numerically and recovers the asymptotic behavior of the accelerating and the near-extremal modes analytically. Using the connection formulae of different 4d $\mathcal{N}=2$ SCFTs, one can solve both the radial and the angular part of the scalar perturbation equation respectively. The same algorithm can be applied to the de Sitter (dS) black holes to calculate both the dS modes and the photon-sphere modes.

32+24 pages; typoes corrected and remark added in v4

References in corpus (16)

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• Interpreting the C-metric
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• Entropy functions for accelerating black holes
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• Uniformization, Calogero-Moser/Heun duality and Sutherland/bubbling pants
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• Exact conditions for Quasi-normal modes of extremal M5-branes and Exact WKB analysis
• Holographic Thermal Correlators for Hyperbolic $CFT$s
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
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• Thermodynamic topological classes of the rotating, accelerating black holes
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Duality between Seiberg-Witten Theory and Black Hole Superradiance
• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
• Holographic thermal correlators from recursions
• 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
• Analytic Computation of Dilaton Black Hole Quasinormal Modes via Seiberg-Witten Theory
• Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization