Irregular Liouville Correlators and Connection Formulae for Heun Functions

We 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. ∗bonelli@sissa.it †ciossa@sissa.it ‡daniel.panea@sissa.it §tanzini@sissa.it 1 ar X iv :2 20 1. 04 49 1v 1 [ he pth ] 1 2 Ja n 20 22

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