Spin chain sigma models with fermions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages. Latex. v2: Misprints corrected and references added

Scientific paper

10.1088/1126-6708/2004/11/079

The complete one-loop planar dilatation operator of N=4 supersymmetric Yang-Mills is isomorphic to the hamiltonian of an integrable PSU(2,2|4) quantum spin chain. We construct the non-linear sigma models describing the continuum limit of the SU(1|3) and SU(2|3) sectors of the complete N=4 chain. We explicitely identify the spin chain sigma model with the one for a superstring moving in AdS_5xS^5 with large angular momentum along the five-sphere.

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