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The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure
Authors:Niklas Beisert and Fabian Spill
Affiliation:1.Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut,Potsdam,Germany;2.Institut für Physik,Humboldt-Universit?t zu Berlin,Berlin,Germany
Abstract: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) $${mathfrak{u}(2|2)}$$ symmetry, which leads to a quasi-triangular Lie bialgebra as the underlying symmetry algebra. On the fundamental representation our r-matrix coincides with the classical limit of the quantum R-matrix.
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