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Irregular Liouville correlators and connection formulae for Heun functions

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arxiv 2201.04491 v3 pith:F3VBDR4C submitted 2022-01-12 hep-th gr-qcmath-phmath.CAmath.MP

Irregular Liouville correlators and connection formulae for Heun functions

classification hep-th gr-qcmath-phmath.CAmath.MP
keywords conformalconnectionformulaeirregularclasscorrelatorsheunliouville
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 14 Pith papers

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