Irregular Liouville Correlators and Connection Formulae for Heun Functions

Author:

Bonelli Giulio,Iossa Cristoforo,Lichtig Daniel Panea,Tanzini AlessandroORCID

Abstract

AbstractWe perform a detailed study of a class of irregular correlators in Liouville Conformal Field Theory, of the related Virasoro conformal blocks with irregular singularities and of their connection formulae. Upon considering their semi-classical limit, we provide explicit expressions of the connection matrices for the Heun function and a class of its confluences. Their calculation is reduced to concrete combinatorial formulae from conformal block expansions.

Funder

Istituto Nazionale di Fisica Nucleare

Ministero dell’Istruzione, dell’Universitá e della Ricerca

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

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