Highest weight representations of \(U_q(\widehat{\text{sl}}(2|1))\) and correlation functions of the \(q\)-deformed supersymmetric \(t\)-\(J\) model

DOI10.1016/S0550-3213(99)00050-4zbMath0944.81017arXivmath/9812027OpenAlexW1967658739MaRDI QIDQ1572086

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/9812027

zbMATH Keywords

charactersrepresentationscorrelation functionsvertex operatorsquantum affine superalgebrasupercharactersgraded Faddeev-Zamolodchikov algebra

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) Supersymmetric field theories in quantum mechanics (81T60)

Related Items (12)

ON THE CONSTRUCTION OF CORRELATION FUNCTIONS FOR THE INTEGRABLE SUPERSYMMETRIC FERMION MODELS ⋮ EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF $U_q (\widehat{{\rm sl}_2})$ ⋮ Differential operator realizations of superalgebras and free field representations of corresponding current algebras ⋮ Diagonalization of transfer matrix of supersymmetry $U_{q}(\widehat{sl}(M+1|N+1))$Uq(sl̂(M+1|N+1)) chain with a boundary ⋮ 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 ⋮ 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] ⋮ The twisted quantum affine algebra \(U_ q(A^{(2)}_ 2)\) and correlation functions of the Izergin-Korepin model. ⋮ Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N̂|N)]

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