Expansions for semiclassical conformal blocks

Expansions for semiclassical conformal blocks

Blog Article

Abstract We propose a relation the expansions of regular and irregular semiclassical conformal blocks at different branch points making use of the connection between the accessory parameters of the BPZ decoupling equations to rosy teacup dogwood the logarithm derivative of isomonodromic tau functions.We give support for these relations by considering two eigenvalue problems for the confluent Heun equations obtained from the linearized perturbation theory of black holes.We first derive the large frequency expansion of the spheroidal equations, and then compare numerically the excited quasi-normal mode spectrum for the Schwarzschild case obtained from the large frequency expansion to the one obtained from the turbo air m3f72-3-n low frequency expansion and with the literature, indicating that the relations hold generically in the complex modulus plane.