Quasinormal modes of C-metric from SCFTs

Author:

Lei Yang,Shu Hongfei,Zhang Kilar,Zhu Rui-DongORCID

Abstract

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 $$ \mathcal{N} $$ 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 [1] 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 $$ \mathcal{N} $$ N = 2 SCFTs, one can solve both the radial and the angular parts 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.

Publisher

Springer Science and Business Media LLC

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Duality between Seiberg-Witten theory and black hole superradiance;Journal of High Energy Physics;2024-05-31

2. Holographic torus correlators in AdS3 gravity coupled to scalar field;Journal of High Energy Physics;2024-05-22

3. Notes on emergent conformal symmetry for black holes;Journal of Cosmology and Astroparticle Physics;2024-05-01

4. Holographic Euclidean thermal correlator;Journal of High Energy Physics;2024-03-04

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