Fusion of the \(q\)-vertex operators and its application to solvable vertex models

DOI10.1007/BF02102429zbMath0868.17021arXivhep-th/9409153MaRDI QIDQ1918086

Atsushi Nakayashiki

Publication date: 21 August 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9409153

zbMATH Keywords

transfer matrixcommutation relationsquasi-particle structure\(q\)-vertex operatorsinhomogeneous vertex models of six-vertex typeisomorphisms of crystals

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Applications of Lie (super)algebras to physics, etc. (17B81) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• 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
• Perfect crystals of quantum affine Lie algebras
• Crystal base and \(q\)-vertex operators
• The crystal base and Littelmann's refined Demazure character formula
• Crystal bases of modified quantized enveloping algebra
• Crystallizing the spinon basis
• Creation/annihilation operators and form factors of the \(XXZ\) model
• Lattice regularization of massive and massless integrable field theories
• FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY
• AFFINE CRYSTALS AND VERTEX MODELS
• Vertex operators in solvable lattice models
• Difference equations for the correlation functions of the eight-vertex model

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