Operator coproduct-realization of quantum group transformations in two-dimensional gravity. I

DOI10.1007/BF02104913zbMath0919.17011arXivhep-th/9503198MaRDI QIDQ1924015

Jean-Loup Gervais, Jens Schnittger, Eugène Cremmer

Publication date: 26 August 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9503198

zbMATH Keywords

universal enveloping algebraHopf algebraoperator realization

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) 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) General relativity (83C99) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (5)

Solving the strongly coupled 2D gravity. III: String susceptibility and topological \(N\)-point functions ⋮ Operator coproduct-realization of quantum group transformations in two-dimensional gravity. I ⋮ Quantum group generators in conformal field theory ⋮ Status of the operator approach to Liouville theory ⋮ Quantum group generators in conformal field theory

Cites Work

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• 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
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• The quantum group structure of 2D gravity and minimal models. II: The genus-zero chiral bootstrap
• Continuous spins in \(2\)D gravity: Chiral vertex operators and local fields
• Operator coproduct-realization of quantum group transformations in two-dimensional gravity. I
• Quadratic brackets from symplectic forms
• Solving the strongly coupled 2D gravity. II: Fractional-spin operators and topological three-point functions.
• The many faces of the quantum Liouville exponentials
• The quantum double in integrable quantum field theory
• POISSON–LIE GROUPS AND CLASSICAL W-ALGEBRAS
• The genus-zero bootstrap of chiral vertex operators in Liouville theory

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