Conformal blocks of minimal models on a Riemann surface

DOI10.1007/BF02099189zbMath0746.57003OpenAlexW2039024585MaRDI QIDQ1189208

Roberto Silvotti, Giovanni Felder

Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02099189

zbMATH Keywords

conformal field theorylocal fieldshighest weight modulesBRST cohomologycomplexes of Fock spacessewing axiomsVirasovo algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) General low-dimensional topology (57M99) Applications of Lie (super)algebras to physics, etc. (17B81) Riemann surfaces (30F99)

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A rigorous treatment of conformal blocks in a model of bosonic conformal field theory, On the spaces of Dotsenko-Fateev integrals, The regularization of Dotsenko-Fateev integrals, Generalized hypergeometric functions on the torus and the adjoint representation of \(U_ q(sl_ 2)\), Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models, Coulomb-gas approach for boundary conformal field theory

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