Anomalous dimension and local charges

Abstract

AdS space is the universal covering of a hyperboloid. We consider the action of the deck transformations on a classical string worldsheet in $Ad{S}_5\times S^5$. 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.

arXiv comment10 pages, LaTeX; v2: added explanations, references

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Cited by in corpus (8)

• Bethe Ansatz for a Quantum Supercoset Sigma Model
• An action variable of the sine-Gordon model
• Yangians, S-matrices and AdS/CFT
• Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)
• On the propagator of a scalar field in AdS x S and in its plane wave limit
• Plane wave limit of local conserved charges
• Sugawara form for AdS superstring
• String Solutions in General Backgrounds