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We study scattering coefficients in black hole spacetimes using analytic properties of complexified wave equations. For a concrete example, we analyse the singularities of the Teukolsky equation and relate the corresponding monodromies to scattering data. These techniques, valid in full generality, provide insights into complex-analytic properties of greybody factors and quasinormal modes. This leads to new perturbative and numerical methods which are in good agreement with previous results. [ABSTRACT FROM AUTHOR]

We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS3 and AdS4. Two-dimensional CFTs with WN symmetry are considered in the λ = 0 (k → ∞) limit where they are conjectured to be described by continuous orbifolds. The torus partition function is computed, using reasonable assumptions, and equals that of a free-field theory. We find no phase transition at temperatures of order 1; the usual Hawking-Page phase transition is removed by the highly degenerate light states associated with conical defect states in the bulk. Three-dimensional Chern-Simons matter CFTs with vector-like matter are considered on T³, where the dynamics is described by an effective theory for the eigenvalues of the holonomies. Likewise, we find no evidence for a Hawking-Page phase transition at a large level k. [ABSTRACT FROM AUTHOR]