A central extension of U_q sl(2,2)^{(1)} and R-matrices with a new parameter

Abstract

In this paper, using a quantum superalgebra associated with the universal central extension of sl(2,2)^{(1)}, we introduce new R-matrices having an extra parameter x. As x\to 0, they become those associated with the symmetric and anti-symmetric tensor products of the copies of the vector representation of U_q sl(2,2)^{(1)}.

18 pages, latex, v2.2 references added

References in corpus (1)

• Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups

Cited by in corpus (4)

• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Representations of centrally extended Lie superalgebra $\mathfrak{psl}(2|2)$
• The Quantum Affine Origin of the AdS/CFT Secret Symmetry
• Drinfeld realization of the centrally extended $\mathfrak{psl}(2|2)$ Yangian algebra with the manifest coproducts