Vertex operators in solvable lattice models

DOI10.1063/1.530783zbMath0818.39004arXivhep-th/9305100OpenAlexW1981935645MaRDI QIDQ4296071

Michio Jimbo, Kei Miki, Omar Foda, Atsushi Nakayashiki, Tetsuji Miwa

Publication date: 7 August 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9305100

zbMATH Keywords

representation theoryIsing modelcorrelation functions\(q\)-difference equationsvertex operatorssolvable lattice modelsgraphical approachJordan-Wigner fermions

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Additive difference equations (39A10)

Related Items

An elliptic quantum algebra for \(\widehat{\text{sl}}_ 2\), Quantum black hole-white hole entangled states, Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets, Fusion of the \(q\)-vertex operators and its application to solvable vertex models, The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism, \(q\)-deformed Grassmann fields and the two-dimensional Ising model, Multi-point local height probabilities in the integrable RSOS model, Free field construction for correlation functions of the eight-vertex model, Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras, Correlation functions for the \(Z\)-invariant Ising model, Lukyanov's screening operators for the deformed Virasoro algebra, Traces of creation-annihilation operators and Fredholm formulas, Solution of the 2D Ising model on a triangular lattice by the method of auxiliary \(q\)-deformed Grassmann fields, Quasi-Hopf twist and elliptic Nekrasov factor

Cites Work

• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Infinite conformal symmetry in two-dimensional quantum field theory
• Quantum affine algebras and holonomic difference equations
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Corner transfer matrices for the Ising model
• Crystal base and \(q\)-vertex operators
• AFFINE CRYSTALS AND VERTEX MODELS
• Difference equations for the correlation functions of the eight-vertex model