Drinfeld basis and free boson representation of twisted quantum affine superalgebra \(U_ q[\text{osp}(2| 2)^{(2)}]\).

DOI10.1016/S0375-9601(99)00644-1zbMath1044.81635arXivmath/9904017OpenAlexW2025934046MaRDI QIDQ1967006

Yao-Zhong Zhang, Wen-Li Yang

Publication date: 8 March 2000

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

Full work available at URL: https://arxiv.org/abs/math/9904017

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)

Related Items (6)

A bosonization of \(U_q\left(\widehat{sl}(M| N)\right)\) ⋮ Reflection \(K\)-matrices for a nineteen vertex model with \(U_q [\operatorname{osp}(2 | 2)^{(2)}\) symmetry] ⋮ Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ Boundary algebraic Bethe Ansatz for a nineteen vertex model withU_q  [osp(2|2)⁽²⁾ symmetry] ⋮ The q-Wakimoto Realization of the Superalgebras $$U_{q}(\widehat{sl}(N|1))$$ and $$U_{q,p}(\widehat{sl}(N|1))$$ ⋮ Screenings and vertex operators of quantum superalgebra $U_q(\widehat{{sl}}(N|1))$Uq(sl̂(N|1))

Cites Work

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• Central extensions of quantum current groups
• Structure of basic Lie superalgebras and of their affine extensions
• Free boson realization of \(U_ q(\widehat{sl_ N} )\)
• A level-one representation of the quantum affine superalgebra \(U_q(\widehat{\mathfrak sl}(M+1\mid N+1))\)
• On super-RS algebra and Drinfeld realization of quantum affine superalgebras
• Drinfel'd realization of quantum affine superalgebra

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