Speaker
Paolo Arnaudo
(SISSA)
Description
In this talk, we describe two methods that provide the quantization condition for the quasinormal mode frequencies in Schwarzschild (anti-)de Sitter black holes in four dimensions. The first consists of using the Nekrasov-Shatashvili functions, or, equivalently, the classical Virasoro conformal blocks, to obtain the connection coefficients for the differential equation encoding the spectral problem. The second method is based on a perturbative expansion of the local solutions of the differential equation, that involves multiple polylogarithmic functions. We conclude by stating our main results and discussing how these methods can be generalized to problems in different backgrounds.
