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arXiv · 2206.09437

CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses

Dario Consoli·Francesco Fucito·Jose Francisco Morales·Rubik Poghossian
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Abstract

Using conformal field theory and localization tecniques we study the propagation of waves in gravity backgrounds described by Schr\"odinger like equations with Fuchsian singularities. Exact formulae for the connection matrices relating the asymptotic behaviour of the wave functions near the singularities are obtained in terms of braiding and fusion rules of the CFT. The results are applied to the study of quasi normal modes, absorption cross sections, amplification factors, echoes and tidal responses of black holes (BH) and exotic compact objects (ECO) in four and five dimensions. In particular, we propose a definition of dynamical Love numbers in gravity.

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Dario Consoli, Francesco Fucito, Jose Francisco Morales, Rubik Poghossian. 2022-06-19. CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses. https://doi.org/10.1007/jhep12(2022)115

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