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Anomalous dimension and local charges

Mikhailov, Andrei (2005) Anomalous dimension and local charges. Journal of High Energy Physics, 2005 (12). Art. No. 009. ISSN 1126-6708. doi:10.1088/1126-6708/2005/12/009.

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AdS space is the universal covering of a hyperboloid. We consider the action of the deck transformations on a classical string worldsheet in AdS5 × S5. 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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Additional Information:© Institute of Physics and IOP Publishing Limited 2005. Received 31 May 2005, accepted for publication 18 November 2005, Published 5 December 2005 I would like to thank G. Arutyunov, A. Gorsky, J. Polchinski and A. Tseytlin for discussions. This research was supported by the Sherman Fairchild Fellowship and in part by the RFBR Grant No. 03-02-17373 and in part by the Russian Grant for the support of the scientific schools No. 00-15-96557. E-print number: hep-th/0411178
Subject Keywords:Integrable Equations in Physics, Space-Time Symmetries, Differential and Algebraic Geometry, AdS-CFT Correspondence
Issue or Number:12
Record Number:CaltechAUTHORS:MIKjhep05b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1882
Deposited By: Archive Administrator
Deposited On:22 Feb 2006
Last Modified:08 Nov 2021 19:43

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