Spectral decomposition of path space in solvable lattice model

DOI10.1007/BF02101676zbMath0876.17034arXivq-alg/9507025OpenAlexW3099833094MaRDI QIDQ1924117

Tomoki Nakanishi, Tomoyuki Arakawa, Kazuyuki Oshima, Akihiro Tsuchiya

Publication date: 26 November 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9507025

zbMATH Keywords

conformal field theorypath spacespectral decompositionquantum symmetryYangianvertex modelsolvable lattice modelintegrable representationsfermionic character formula

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Hidden Yangians in 2D massive current algebras
• Quantum affine algebras and holonomic difference equations
• Spinons in conformal field theory
• One-dimensional configuration sums in vertex models and affine Lie algebra characters
• Crystallizing the spinon basis
• AFFINE CRYSTALS AND VERTEX MODELS
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory

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