The regularization of Dotsenko-Fateev integrals

DOI10.1007/S11005-023-01717-4zbMath1523.32009arXiv2308.12900OpenAlexW4386804193MaRDI QIDQ6078979

Ethan Sussman

Publication date: 28 September 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.12900

zbMATH Keywords

minimal modelsDotsenko-Fateev integralsPochhammer regularization

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Applications of hypergeometric functions (33C90) Meromorphic functions of several complex variables (32A20)

Cites Work

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• Modular covariance of minimal model correlation functions
• Fock space representations of the Virasoro algebra. Intertwining operators
• Fock space representations of Virasoro algebra and intertwining operators
• Infinite conformal symmetry in two-dimensional quantum field theory
• Conformal blocks of minimal models on a Riemann surface
• A signature formula for manifolds with corners of codimension two
• Vertex operators in Hilbert space
• The importance of the Selberg integral
• A rigorous treatment of conformal blocks in a model of bosonic conformal field theory

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