{ "id": "hep-th/0402092", "version": "v2", "published": "2004-02-12T14:47:36.000Z", "updated": "2004-03-18T08:47:26.000Z", "title": "Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5", "authors": [ "Johan Engquist" ], "comment": "21 pages, harvmac, minor changes, references added", "journal": "JHEP 0404 (2004) 002", "doi": "10.1088/1126-6708/2004/04/002", "categories": [ "hep-th" ], "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.", "revisions": [ { "version": "v2", "updated": "2004-03-18T08:47:26.000Z" } ], "analyses": { "keywords": [ "higher conserved charges", "spinning strings", "integrability", "dual composite single-trace operator", "circular three-spin solution" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "J. High Energ. Phys." }, "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "inspire": 644390 } } }