Drinfeld Basis And a Nonclassical Free Boson Representation of Twisted Quantum Affine Superalgebra $U_q[osp(2|2)^{(2)}]$}

Wen-Li Yang; Yao-Zhong Zhang

doi:10.1016/S0375-9601(99)00644-1

paper

Drinfeld Basis And a Nonclassical Free Boson Representation of Twisted Quantum Affine Superalgebra $U_{q} [os p (2∣2)^{(2)}]$ }

arXiv:math/9904017 · doi:10.1016/S0375-9601(99)00644-1

Abstract

We derive from the super RS algebra the Drinfeld basis of the twisted quantum affine superalgebra $U_{q} [os p (2∣2)^{(2)}]$ by means of the Gauss decomposition technique. We explicitly construct a nonclassical level-one representation of $U_{q} [os p (2∣2)^{(2)}]$ in terms of two $q$ -deformed free boson fields.

Change of title, and one added section on a nonclassical free boson realization; LaTex file 10 pages

References in corpus (4)

Free Boson Realization of $U_{q} (s l_{N})$
A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$
Super Yangian Double and its Central Extension
Drinfel'd Realization of Quantum Affine Superalgebra $U_{q} (g l (1∣1))^$

Cited by in corpus (5)

Reflection matrices with $U_{q} [os p^{(2)} (2∣2 m)]$ symmetry
A Bosonization of $U_{q} (s l (M ∣ N))$
Screenings and Vertex Operators of Quantum Superalgebra $U_{q} (s l^(N ∣1))$
Reflection $K$ -matrices for a nineteen vertex model with $U_{q} [osp (2∣2)^{(2)}]$ symmetry
Boundary Algebraic Bethe Ansatz for a nineteen vertex model with $U_{q} [osp (2∣2)^{(2)}]$ symmetry

Drinfeld Basis And a Nonclassical Free Boson Representation of Twisted Quantum Affine Superalgebra Uq​[osp(2∣2)(2)]}

Abstract

References in corpus (4)

Cited by in corpus (5)

Drinfeld Basis And a Nonclassical Free Boson Representation of Twisted Quantum Affine Superalgebra $U_{q} [os p (2∣2)^{(2)}]$ }