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Quasinormal Modes of C-metric from SCFTs

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arxiv 2308.16677 v4 pith:KCJZLMRQ submitted 2023-08-31 hep-th astro-ph.HEgr-qchep-phmath-phmath.MP

Quasinormal Modes of C-metric from SCFTs

Yang Lei , Hongfei Shu , Kilar Zhang , Rui-Dong Zhu This is my paper
classification hep-th astro-ph.HEgr-qchep-phmath-phmath.MP
keywords modesacceleratingc-metricchargedscftsblackconnectiondifferent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 4 Pith papers

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    Seiberg-Witten instanton expansions combined with exact WKB period integrals allow analytic computation and continuation of quasinormal modes from large q to q=0.

  2. Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization

    hep-th 2026-03 unverdicted novelty 7.0

    Maps scalar perturbations around extremal charged black holes to Seiberg-Witten quantization to obtain the first non-perturbative quasinormal mode spectrum for charged massive fields.

  3. Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics

    hep-th 2026-07 conditional novelty 6.0

    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.

  4. Eikonal quasinormal modes, greybody factors and shadow of charged accelerating black holes

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    Eikonal quasinormal modes for accelerating black holes are determined by the angular velocity and Lyapunov exponent of null geodesics, yielding universal greybody factors for any spin and explicit shadow radii that re...