Quantum exchange algebra and locality in Liouville theory

DOI10.1016/S0370-2693(96)01464-5zbMath0957.81521arXivhep-th/9608040MaRDI QIDQ5925899

Fujiwara, Takanori, Takimoto, Yoshio, Igarashi, Hiroshi

Publication date: 11 March 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9608040

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) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10)

Related Items (1)

Quantum exchange algebra and exact operator solution of \(A_2\)-Toda field theory

Cites Work

• An exact operator solution of the quantum Liouville field theory
• Solving the strongly coupled 2D gravity. I: Unitary truncation and quantum group structure
• Universal exchange algebra for Bloch waves and Liouville theory
• Quantum group structure and local fields in the algebraic approach to 2D gravity
• The many faces of the quantum Liouville exponentials
• ON THE EXACT OPERATOR FORMALISM OF TWO-DIMENSIONAL LIOUVILLE QUANTUM GRAVITY IN MINKOWSKI SPACE-TIME

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