On the algebra ${\cal A}\,_{\hbar,\eta}(osp(2|2)^{(2)})$ and free boson representations

DOI10.1088/0305-4470/34/32/311zbMath0995.81033arXivmath/0010050OpenAlexW3121666992MaRDI QIDQ2766164

Liu Zhao, Niall J. MacKay

Publication date: 27 January 2002

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

Full work available at URL: https://arxiv.org/abs/math/0010050

zbMATH Keywords

Lie superalgebraFock spacecurrent algebraHeisenberg algebrasquantum deformationnonsimply laced and twisted root systems

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) Superalgebras (17A70)

Related Items (5)

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] ⋮ Recursive boson system in the Cuntz algebra O∞ ⋮ Boundary algebraic Bethe Ansatz for a nineteen vertex model withU_q  [osp(2|2)⁽²⁾ symmetry] ⋮ Branching laws for endomorphisms of fermions and the Cuntz algebra O2

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