Quantum group structure and local fields in the algebraic approach to 2D gravity

DOI10.1007/BF02066661zbMath0856.17026arXivhep-th/9412176OpenAlexW2952693861MaRDI QIDQ1920659

Jens Schnittger

Publication date: 12 August 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9412176

zbMATH Keywords

conformal field theorychiral vertex operatorsLiouville fieldtwo-dimensional gravityexchange algebradouble quantum groupconstruction of local observablesLiouville exponentialsoperator Coulomb-gas realizationquantum tau function

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items

Schwinger-Dyson approach to Liouville field theory, Quantum exchange algebra and locality in Liouville theory, Poisson structure and Moyal quantisation of the Liouville theory, Group theory approach to the \(\tau\)-function and its quantization

Cites Work

• Gravity-matter couplings from Liouville theory
• The quantum group structure of 2D gravity and minimal models. I
• Solving the strongly coupled 2D gravity. I: Unitary truncation and quantum group structure
• Classical and quantum conformal field theory
• Universal exchange algebra for Bloch waves and Liouville theory
• The quantum strip: Liouville theory for open strings
• The quantum group structure of 2D gravity and minimal models. II: The genus-zero chiral bootstrap
• The multivalued free-field maps of Liouville and Toda gravities
• Continuous spins in \(2\)D gravity: Chiral vertex operators and local fields
• Exactly and completely integrable nonlinear dynamical systems
• Solving the strongly coupled 2D gravity. II: Fractional-spin operators and topological three-point functions.
• The genus-zero bootstrap of chiral vertex operators in Liouville theory