Level-one highest weight representation of Uq[sl(N̂|1)] and Bosonization of the multicomponent Super t−J model

DOI10.1063/1.533441zbMath0971.81049arXivmath/0001154OpenAlexW2102087157MaRDI QIDQ2738152

Wen-Li Yang, Yao-Zhong Zhang

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/0001154

zbMATH Keywords

charactershighest weight representationsexchange relationsquantum affine superalgebrasupercharactersbosnized \(q\)-vertex operators

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) Statistical mechanics of superconductors (82D55)

Related Items (4)

Commutation relations of vertex operators for Uq(sl^(M|N)) ⋮ Diagonalization of transfer matrix of supersymmetry $U_{q}(\widehat{sl}(M+1|N+1))$Uq(sl̂(M+1|N+1)) chain with a boundary ⋮ Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms ⋮ Izergin-Korepin model with a boundary

Cites Work

• Vertex operator representations of the quantum affine algebra \(U_ q(B_ r^{(1)})\)
• Quantum affine algebras and holonomic difference equations
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Staggered polarization of vertex models with \(U_ q(\widehat {sl}(n))\)- symmetry
• A level-one representation of the quantum affine superalgebra \(U_q(\widehat{\mathfrak sl}(M+1\mid N+1))\)
• Highest weight representations of \(U_q(\widehat{\text{sl}}(2|1))\) and correlation functions of the \(q\)-deformed supersymmetric \(t\)-\(J\) model
• The twisted quantum affine algebra \(U_ q(A^{(2)}_ 2)\) and correlation functions of the Izergin-Korepin model.
• Algebraic Bethe ansatz for \(gl(2,1)\) invariant 36-vertex models
• One-parameter family of an integrable \(\text{spl}(2| 1)\) vertex model: Algebraic Bethe ansatz and ground state structure
• Multi-point local height probabilities in the integrable RSOS model
• \(N\)-point correlation functions of the spin-\(1\) \(XXZ\) model
• On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras
• Vertex operators of Uq[gl(N∧|N) and highest weight representations of Uq[gl(2|∧2)]]
• LEVEL 2 IRREDUCIBLE REPRESENTATIONS OF $U_q (\widehat{{\rm sl}}_2)$, VERTEX OPERATORS, AND THEIR CORRELATIONS
• Vertex representations of quantum affine algebras
• Mixing of ground states in vertex models
• Comments on the Drinfeld realization of the quantum affine superalgebra and its Hopft algebra structure
• Bosonization of vertex operators for the face model
• Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N̂|N)]

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