Irregular Liouville Correlators and Connection Formulae for Heun Functions
Autor: | Giulio Bonelli, Cristoforo Iossa, Daniel Panea Lichtig, Alessandro Tanzini |
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Jazyk: | angličtina |
Rok vydání: | 2023 |
Předmět: |
High Energy Physics - Theory
High Energy Physics - Theory (hep-th) Mathematics - Classical Analysis and ODEs Classical Analysis and ODEs (math.CA) FOS: Mathematics FOS: Physical sciences Statistical and Nonlinear Physics General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) Settore MAT/07 - Fisica Matematica General Relativity and Quantum Cosmology Mathematical Physics Settore FIS/02 - Fisica Teorica Modelli e Metodi Matematici |
Popis: | 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. Comment: 61 pages, many diagrams, 2 figures, huge list of symbols, comments welcome |
Databáze: | OpenAIRE |
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