Anomalous dimension and local charges

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX; v2: added explanations, references

Scientific paper

10.1088/1126-6708/2005/12/009

AdS space is the universal covering of a hyperboloid. We consider the action of the deck transformations on a classical string worldsheet in $AdS_5\times S^5$. We argue that these transformations are generated by an infinite linear combination of the local conserved charges. We conjecture that a similar relation holds for the corresponding operators on the field theory side. This would be a generalization of the recent field theory results showing that the one loop anomalous dimension is proportional to the Casimir operator in the representation of the Yangian algebra.

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