Mikhailov, Andrei (2011) A nonlocal Poisson bracket of the sine-Gordon model. Journal of Geometry and Physics, 61 (1). pp. 85-94. ISSN 0393-0440. doi:10.1016/j.geomphys.2010.05.011. https://resolver.caltech.edu/CaltechAUTHORS:20110207-101639504
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Abstract
It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider the non-abelian dual of the classical string on a two-sphere. We show that there is a projection map from the phase space of this model to the phase space of the sine-Gordon model. The corresponding Poisson structure of the sine-Gordon model is nonlocal with one integration.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2010 Elsevier B.V. Received 12 December 2006; revised 12 May 2010; accepted 22 May 2010. Available online 1 June 2010.. I wish to thank J. Maldacena, A. Tseytlin and K. Zarembo 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 NSh-1999.2003.2. | |||||||||
| Group: | Caltech Theory | |||||||||
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| Subject Keywords: | Classical string theory; AdS/CFT correspondence; Sine-Gordon model; Poisson brackets | |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1016/j.geomphys.2010.05.011 | |||||||||
| Record Number: | CaltechAUTHORS:20110207-101639504 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20110207-101639504 | |||||||||
| Official Citation: | Andrei Mikhailov, A nonlocal Poisson bracket of the sine-Gordon model, Journal of Geometry and Physics, Volume 61, Issue 1, January 2011, Pages 85-94, ISSN 0393-0440, DOI: 10.1016/j.geomphys.2010.05.011. (http://www.sciencedirect.com/science/article/B6TJ8-506W6PH-1/2/5cf7a87e1016a4e441d6eb2744e655d0) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 22047 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 07 Feb 2011 21:37 | |||||||||
| Last Modified: | 09 Nov 2021 16:02 |
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