Jul 4 – 7, 2022
ICTP
Europe/Rome timezone

Perturbative connection formulas for Heun equations

Jul 5, 2022, 10:00 AM
1h
Giambiagi lecture hall (ICTP)

Giambiagi lecture hall

ICTP

Adriatico guesthouse, lower level 1 Riva Massimiliano e Carlotta, 34151, Grignano TS, Italy

Speaker

Oleg Lissovyy (Universite’ de Tours)

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 Lissovyy (Universite’ de Tours)

Presentation materials

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