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

Beisert, Niklas; Spill, Fabian

doi:10.1007/s00220-008-0578-2

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

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Beisert, Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beisert, N., & Spill, F. (2009). The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure. Communications in Mathematical Physics, 285(2), 537-565. doi:10.1007/s00220-008-0578-2.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-14A3-B

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.