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We obtain Drinfeld second realization of the quantum affine superalgebras associated with the affine Lie superalgebra $D^{(1)}(2,1;x)$. Our results are analogous to those obtained by Beck for the quantum affine algebras. Becks analysis uses heavily t he (extended) affine Weyl groups of the affine Lie algebras. In our approach the structures are based on a Weyl groupoid.
211 - N. Beisert , F. Spill 2008
In this paper we investigate the algebraic structure of AdS/CFT in the strong-coupling limit. We propose an expression for the classical r-matrix with (deformed) u(2|2) symmetry, which leads to a quasi-triangular Lie bialgebra as the underlying symme try algebra. On the fundamental representation our r-matrix coincides with the classical limit of the quantum R-matrix.
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