Kerr–de Sitter greybody factors via isomonodromy

• DOI: 10.1103/physrevd.93.024045
• Publication Date: 2016-01-27T15:20:30Z
• Authors: Bruno Carneiro da...; Fábio Novaes
• Keywords: High Energy Physics - Theory; 0103 physical sciences; 01 natural sciences; General Relativity and Quantum Cosmology

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 Painlev\'e 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.<br/>Comment: JHEP style, 2 figures, 35 pages<br/>