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. https://resolver.caltech.edu/CaltechAUTHORS:MIKjhep05b
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png)
|
PDF
See Usage Policy. 177kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:MIKjhep05b
Abstract
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.
| Item Type: | Article | ||||||
|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||
| 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 | ||||||
| DOI: | 10.1088/1126-6708/2005/12/009 | ||||||
| Record Number: | CaltechAUTHORS:MIKjhep05b | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:MIKjhep05b | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 1882 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 22 Feb 2006 | ||||||
| Last Modified: | 08 Nov 2021 19:43 |
Repository Staff Only: item control page
