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.
Irregular Liouville Correlators and Connection Formulae for Heun Functions / Bonelli, G.; Iossa, C.; Panea Lichtig, D.; Tanzini, A.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 397:2(2023), pp. 635-727. [10.1007/s00220-022-04497-5]
Irregular Liouville Correlators and Connection Formulae for Heun Functions
Bonelli, G.;Iossa, C.;Panea Lichtig, D.;Tanzini, A.
2023-01-01
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.| File | Dimensione | Formato | |
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