An integrable vertex model and the quantum affine algebra \(U_q(\widehat{sl}(2))\) at the critical level

DOI10.1016/S0550-3213(02)00441-8zbMath0997.82007MaRDI QIDQ1609015

R. M. Gade

Publication date: 14 August 2002

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

zbMATH Keywords

composite vertex operatorscorner transfer matrix eigenvaluesmodule intertwiners

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (1)

\(q\)-Poincaré supersymmetry in \(\text{AdS}_5/\text{CFT}_4\)

Cites Work

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• Central extensions of quantum current groups
• Conformal field theory
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Quantum affine algebras and holonomic difference equations
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Free boson realization of \(U_ q(\widehat{sl_ N} )\)
• From fusion hierarchy to excited state TBA
• Free-field representation of the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\) and form factors in the higher-spin \(XXZ\) model
• One-dimensional configuration sums in vertex models and affine Lie algebra characters
• The center of a quantum affine algebra at the critical level
• Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras
• AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
• CORNER TRANSFER MATRICES AND QUANTUM AFFINE ALGEBRAS
• AFFINE CRYSTALS AND VERTEX MODELS
• Integrability of atJmodel with impurities
• N-point matrix elements of dynamical vertex operators of the higher spin XXZ model
• Exact solution of an electron system combining two differentt-Jmodels
• Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables

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