The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure

Details The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure

2007-08-13

arxiv.org/abs/0708.1762v3

Commun.Math.Phys.285:537-565,2009

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, v2: added comment on classical double structure in 4.5. new section 5 on relation to other algebras (from old append

Scientific paper

10.1007/s00220-008-0578-2

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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