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Anomalous dimension and local charges

Andrei Mikhailov
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Abstract

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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Andrei Mikhailov. 2005-09-20. Anomalous dimension and local charges. https://doi.org/10.1088/1126-6708%2F2005%2F12%2F009

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