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THE DILATATION OPERATOR OF $\mathcal{N}=4$ SYM AND CLASSICAL LIMITS OF SPIN CHAINS AND MATRIX MODELS

2004
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Modern Physics Letters A
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A study of the one loop dilatation operator in the scalar sector of N = 4 SYM is presented. The dilatation operator is analyzed from the point of view of Hamiltonian matrix models. A Lie algebra underlying operator mixing in the planar large N limit is presented, and its role in understanding the integrability of the planar dilatation operator is emphasized. A classical limit of the dilatation operator is obtained by considering a contraction of this Lie algebra, leading to a new way of

doi:10.1142/s0217732304015725
fatcat:vumgg3bgqveinbkemljr3yck7u