The SU(3) spin chain sigma model and string theory

Details The SU(3) spin chain sigma model and string theory The SU(3) spin chain sigma model and string theory

2004-03-12

arxiv.org/abs/hep-th/0403139v3

JHEP 0404 (2004) 052

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. Latex.v2: Misprints corrected. v3: Minor changes and improved details from journal version

Scientific paper

10.1088/1126-6708/2004/04/052

The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N=4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the continuum limit of the SU(3) spin chain. We find that this sigma model corresponds to a string moving with large angular momentum in the five-sphere in AdS_5xS^5. The energy and spectrum of fluctuations for rotating circular strings with angular momenta along three orthogonal directions of the five-sphere is reproduced as a particular case from the spin chain sigma model.

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