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arXiv · hep-th/0402092

Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5

Johan Engquist
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Abstract

We demonstrate the existence of an infinite number of local commuting charges for classical solutions of the string sigma model on AdS_5 x S^5 associated with a certain circular three-spin solution spinning with large angular momenta in three orthogonal directions on the five-sphere. Using the AdS/CFT correspondence we find agreement to one-loop with the tower of conserved higher charges in planar N=4 super Yang-Mills theory associated with the dual composite single-trace operator in the highest weight representation (J_1,J_2,J_2) of SO(6). The agreement can be explained by the presence of integrability on both sides of the duality.

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Johan Engquist. 2004-03-18. Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5. https://doi.org/10.1088/1126-6708%2F2004%2F04%2F002

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