Irregular Liouville Correlators and Connection Formulae for Heun Functions
Giulio Bonelli, Cristoforo Iossa, Daniel Panea Lichtig, Alessandro Tanzini
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Source: Crossref
Published: Nov 20, 2022
DOI: 10.1007/s00220-022-04497-5
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Abstract 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. Their calculation is reduced to concrete combinatorial formulae from conformal block expansions.
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