Kerr-de Sitter Greybody Factors via Isomonodromy

Abstract

Scattering data can be generically described in terms of monodromies. Here we obtain scattering amplitudes for conformally coupled scalar fields in Kerr-de Sitter black holes using this monodromy technique. The only non-trivial parameter, the composite monodromy parameter ${\sigma }_{ij}$ between two regular singular points, can be solved implicitily in terms of the Painlevé VI $\tau$-function. The application of the Virasoro conformal blocks to solve the latter can now be interpreted as a verification of the striking relationship between conformal symmetry and black holes.

arXiv commentJHEP style, 2 figures, 35 pages

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• CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• A slow review of the AGT correspondence
• Scalar quasinormal modes of Kerr-AdS${}_5$
• Exploring the BTZ bulk with boundary conformal blocks
• Classical Conformal Blocks and Accessory Parameters from Isomonodromic Deformations
• Particle creation by de Sitter black holes revisited
• Spectroscopy of Kerr-AdS${}_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
• Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes
• On the Existence of Monodromies for the Rabi model
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• Absorption cross section in gravity's rainbow from confluent Heun equation
• Emergent Black Hole Thermodynamics from Monodromy
• Holographic thermal propagator for arbitrary scale dimensions
• More on the SW-QNM correspondence
• Machine Learning-Based Analytical Expressions for Gray-Body Factors and Application to Primordial Black Holes
• Solving Heun's equation using conformal blocks
• Evaporation of Echoing Black Holes
• Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models
• Kerr Scattering Coefficients via Isomonodromy
• Vector perturbations of Kerr-AdS${}_5$ and the Painlevé VI transcendent
• The violation of a uniqueness theorem and an invariant in the application of Poincaré--Perron theorem to Heun's equation
• Greybody factors of string-corrected d-dimensional black holes
• QNMs of scalar fields on small Reissner-Nordström-AdS${}_5$ black holes
• On the Kerr-AdS/CFT correspondence
• Isomonodromy sets of accessory parameters for Heun class equations