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arXiv · hep-th/0403139

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

Rafael Hernandez·Esperanza Lopez
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Abstract

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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Rafael Hernandez, Esperanza Lopez. 2004-06-24. The SU(3) spin chain sigma model and string theory. https://doi.org/10.1088/1126-6708%2F2004%2F04%2F052

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