A nonlocal Poisson bracket of the sine-Gordon model

作者：Mikhailov Andrei^*

来源：Journal of Geometry and Physics, 2011, 61(1): 85-94.

DOI：10.1016/j.geomphys.2010.05.011

• Classical string theory
• AdS/CFT correspondence
• Sine-Gordon model
• Poisson brackets

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.

• 出版日期2011-1