Level-one highest weight representations of \(U_q[\widehat{gl(1|1)}]\) and associated vertex operators

DOI10.1016/S0375-9601(00)00085-2zbMath0940.17010arXivmath/9907134OpenAlexW2048749638MaRDI QIDQ1569564

Yao-Zhong Zhang, Wen-Li Yang

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907134

zbMATH Keywords

charactershighest weight representationssupercharacters\(q\)-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) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (1)

Boundary state of a ${{U}_{q}}\left(\widehat{gl}(N|N)\right)$ analogue of the half-infinitet−Jmodel

Cites Work

• Unnamed Item
• 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
• Free boson realization of \(U_ q(\widehat{sl_ N} )\)
• 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.
• Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)
• Vertex representations of quantum affine algebras
• Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N̂|N)]

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