A nonlocal Poisson bracket of the sine-Gordon model

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Mikhailov, Andrei^1,2 

[1] Inst Theoret & Expt Phys, Moscow 117259, Russia

[2] CALTECH 452 48, Pasadena, CA 91125 USA

关键词: Classical string theory;    AdS/CFT correspondence;    Sine-Gordon model;    Poisson brackets;   

DOI  :  10.1016/j.geomphys.2010.05.011

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free