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arXiv · 2201.04491

Irregular Liouville correlators and connection formulae for Heun functions

Giulio Bonelli·Cristoforo Iossa·Daniel Panea Lichtig·Alessandro Tanzini
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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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Giulio Bonelli, Cristoforo Iossa, Daniel Panea Lichtig, Alessandro Tanzini. 2022-01-12. Irregular Liouville correlators and connection formulae for Heun functions. https://doi.org/10.1007/s00220-022-04497-5

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