On the algebra A_{\hbar,η}(osp(2|2)^{(2)}) and free boson representations

Abstract

A two-parameter quantum deformation of the affine Lie super algebra $osp(2|2{)}^{(2)}$ is introduced and studied in some detail. This algebra is the first example associated with nonsimply-laced and twisted root systems of a quantum current algebra with the structure of a so-called infinite Hopf family of (super)algebras. A representation of this algebra at $c=1$ is realized in the product Fock space of two commuting sets of Heisenberg algebras.

14 pages, LaTeX

References in corpus (1)

• Level-One Highest Weight Representations of $U_q[\widehat{gl(1|1)}]$ and Associated Vertex Operators

Cited by in corpus (4)

• Recursive boson system in the Cuntz algebra ${\mathcal{O}}_{\infty }$
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• Reflection $K$-matrices for a nineteen vertex model with $U_q[\mathrm{osp}{\left(2|2\right)}^{\left(2\right)}]$ symmetry
• Boundary Algebraic Bethe Ansatz for a nineteen vertex model with $U_q[\mathrm{osp}(2|2{)}^{(2)}]$ symmetry