May 23 – 27, 2022
SISSA
Europe/Rome timezone

Perturbative connection formulas for Heun equations

May 27, 2022, 11:30 AM
45m
128 (SISSA)

128

SISSA

Via Bonomea 265

Speaker

Oleg Lisovyy (LMPT, Tours University)

Description

The connection problem for Heun equation seeks to relate bases of Frobenius solutions associated to different Fuchsian singularities. In a recent paper 2201.04491 [hep-th], Bonelli, Iossa, Lichtig and Tanzini have proposed a conjecture relating the relevant connection coefficients to classical conformal blocks of the Virasoro algebra. In practical terms, their conjecture allows to compute the connection coefficients in the form of a perturbative expansion in a suitable parameter. I will explain how to derive the corresponding perturbative formulas directly from Heun’s equation.

Primary author

Oleg Lisovyy (LMPT, Tours University)

Presentation materials