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The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure (0708.1762v3)

Published 13 Aug 2007 in hep-th, math.QA, and nlin.SI

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) 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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