Quantum conformal field theory as an infinite-dimensional non-commutative geometry

DOI10.1070/RM1991v046n04ABEH002816zbMath0780.58005OpenAlexW1967128855MaRDI QIDQ3135871

Denis S. Juriev

Publication date: 16 September 1993

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1991v046n04abeh002816

zbMATH Keywords

Verma modulesVirasoro algebravertex operatoruniversal \(R\)-matrixquantum projective field theorynoncommutative coveringslocal conformal field algebraspseudotensor modulesquantum universal deformationsvertex operator fields

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Applications of global differential geometry to the sciences (53C80)

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