Connections of the Liouville model and \(XXZ\) spin chain

DOI10.1016/0550-3213(95)00354-UzbMath1003.82505arXivhep-th/9506023MaRDI QIDQ1899052

Olav Tirkkonen, Ludvig Faddeev

Publication date: 3 October 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9506023

zbMATH Keywords

integrable structureBethe ansatz equationsfinite size spin chain correctionslattice Liouville Bethe equationslattice Liouville theorylattice sine Gordon theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abelian current algebra and the Virasoro algebra on the lattice
• Fusion rules and modular transformations in 2D conformal field theory
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Conformal invariance, the XXZ chain and the operator content of two- dimensional critical systems
• Infinite conformal symmetry in two-dimensional quantum field theory
• Universal exchange algebra for Bloch waves and Liouville theory
• Completeness of good Bethe ansatz solutions of a quantum-group-invariant Heisenberg model
• Solving the strongly coupled 2D gravity. II: Fractional-spin operators and topological three-point functions.
• Liouville field theory: IST and Poisson bracket structure
• Conformal spectrum of the six-vertex model
• QUANTUM DILOGARITHM