Irregular Liouville Correlators and Connection Formulae for Heun Functions
Giulio Bonelli, Cristoforo Iossa, Daniel Panea Lichtig, Alessandro Tanzini
Abstract
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.
Topics & Concepts
Connection (principal bundle)Conformal mapConformal field theoryGravitational singularityMathematicsClass (philosophy)Limit (mathematics)Pure mathematicsField (mathematics)Explicit formulaeAiry functionMathematical physicsMathematical analysisGeometryComputer scienceArtificial intelligenceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNonlinear Waves and Solitons