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.

JHEP style, 2 figures, 35 pages

References in corpus (5)

• General Kerr-NUT-AdS Metrics in All Dimensions
• Kerr-de Sitter Universe
• Isomonodromy, Painlevé Transcendents and Scattering off of Black Holes
• Heun equation, Teukolsky equation, and type-D metrics
• Isomonodromic $\tau$-functions and $W_N$ conformal blocks

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• Exploring the BTZ bulk with boundary conformal blocks
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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
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• Greybody factors of string-corrected d-dimensional black holes
• QNMs of scalar fields on small Reissner-Nordström-AdS${}_5$ black holes
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