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Published January 2011 | public
Journal Article

A nonlocal Poisson bracket of the sine-Gordon model

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.

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.

Additional details

Created:
August 22, 2023
Modified:
October 23, 2023