Scalar quasinormal modes of Kerr-AdS$\mathbf{_5}$

Understand

An analytic expression for the scalar quasinormal modes of the generic, spinning Kerr-$\mathrm{AdS_5}$ black holes was previously proposed by the authors in ref.

• 1, in terms of transcendental equations involving the Painlev\'e VI (PVI) $\tau$ function.
• In this work, we carry out a numerical investigation of the modes for generic rotation parameters, comparing implementations of expansions for the PVI $\tau$ function both in terms of conformal blocks (Nekrasov functions) and Fredholm determinants.
• We compare the results with standard numerical methods for the subcase of Schwarzschild black holes.