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.
2023
397
2
635
727
https://doi.org/10.1007/s00220-022-04497-5
https://arxiv.org/abs/2201.04491
Bonelli, G.; Iossa, C.; Panea Lichtig, D.; Tanzini, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/131613
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