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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We would like to thank Valentina Forini, Peter Koroteev, Tristan McLoughlin, Jan Plefka, Alessandro Torrielli and the CMP referee for interesting discussions and useful comments.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Beisert, N., Spill, F. The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure. Commun. Math. Phys. 285, 537–565 (2009). https://doi.org/10.1007/s00220-008-0578-2
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DOI: https://doi.org/10.1007/s00220-008-0578-2