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Plane wave limit of local conserved charges

Mikhailov, Andrei (2005) Plane wave limit of local conserved charges. Journal of High Energy Physics, 2005 (10). Art. No. 093. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:MIKjhep05a

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Abstract

We study the plane wave limit of the Bäcklund transformations for the classical string in AdS space times a sphere and obtain an explicit expression for the local conserved charges. We show that the Pohlmeyer charges become in the plane wave limit the local integrals of motion of the free massive field. This fixes the coefficients in the expansion of the anomalous dimension as the sum of the Pohlmeyer charges.


Item Type:Article
Additional Information:© Institute of Physics and IOP Publishing Limited 2005. Received 31 May 2005, accepted for publication 28 September 2005, Published 27 October 2005 I want to thank I. Swanson and A. Tseytlin for interesting discussions, and M. Srednicki for asking the question. 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 NSh-1999.2003.2. E-print number: hep-th/0502097
Subject Keywords:Penrose limit and pp-wave background, Integrable Equations in Physics, AdS-CFT and dS-CFT Correspondence, Differential and Algebraic Geometry
Record Number:CaltechAUTHORS:MIKjhep05a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:MIKjhep05a
Alternative URL:http://dx.doi.org/10.1088/1126-6708/2005/10/093
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1881
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:22 Feb 2006
Last Modified:29 Aug 2014 14:25

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