The twisted quantum affine algebra \(U_ q(A^{(2)}_ 2)\) and correlation functions of the Izergin-Korepin model.

DOI10.1016/S0550-3213(99)00348-XzbMath1068.81562arXivmath/9904018OpenAlexW1621978146MaRDI QIDQ1572261

Bo-Yu Hou, Yao-Zhong Zhang, Wen-Li Yang

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/math/9904018

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23)

Related Items (14)

ON THE CONSTRUCTION OF CORRELATION FUNCTIONS FOR THE INTEGRABLE SUPERSYMMETRIC FERMION MODELS ⋮ A convenient basis for the Izergin-Korepin model ⋮ EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF $U_q (\widehat{{\rm sl}_2})$ ⋮ A REMARK ON GROUND STATE OF BOUNDARY IZERGIN–KOREPIN MODEL ⋮ The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2)) ⋮ The denominators of normalized \(R\)-matrices of types \(A_{2n-1}^{(2)}\), \(A_{2n}^{(2)}\), \(B_{n}^{(1)}\) and \(D_{n+1}^{(2)}\) ⋮ Vertex operators of Uq[gl(N∧|N) and highest weight representations of Uq[gl(2|∧2)]] ⋮ U q [sl (2| ∧ 1) vertex operators, screen currents, and correlation functions at an arbitrary level] ⋮ Level-one highest weight representation of Uq[sl(N̂|1) and Bosonization of the multicomponent Super t−J model] ⋮ Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms ⋮ Scalar products of the open XYZ chain with non-diagonal boundary terms ⋮ Determinant representations of correlation functions for the supersymmetric \(t\)-\(J\) model ⋮ Level-one highest weight representations of \(U_q[\widehat{gl(1|1)}\) and associated vertex operators] ⋮ Izergin-Korepin model with a boundary

Cites Work

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• Quantum affine algebras and holonomic difference equations
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
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• Highest weight representations of \(U_q(\widehat{\text{sl}}(2|1))\) and correlation functions of the \(q\)-deformed supersymmetric \(t\)-\(J\) model
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• The exact solution and the finite-size behaviour of the Osp\((1| 2)\)-invariant spin chain
• Multi-point local height probabilities in the integrable RSOS model
• \(N\)-point correlation functions of the spin-\(1\) \(XXZ\) model
• TWISTED QUANTUM AFFINE ALGEBRAS AND SOLUTIONS TO THE YANG-BAXTER EQUATION
• Vertex representations of quantum affine algebras
• Mixing of ground states in vertex models
• INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY
• Bosonization of vertex operators for the face model

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