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Irregular Liouville correlators and connection formulae for Heun functions (2201.04491v3)
Published 12 Jan 2022 in hep-th, gr-qc, math-ph, math.CA, and math.MP
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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