A nonlocal Poisson bracket of the sine-Gordon model
arXiv:hep-th/0511069 · doi:10.1016/j.geomphys.2010.05.011
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 nonabelian 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.
18 pages, LaTeX, v2,3: added Section 4 and references
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- Pohlmeyer reduction revisited
- Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
- Bethe Ansatz in Stringy Sigma Models
- Dressing the Giant Magnon II
- An action variable of the sine-Gordon model
- Alleviating the non-ultralocality of coset sigma models through a generalized Faddeev-Reshetikhin procedure
- Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
- The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
- Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
- A Relativistic Relative of the Magnon S-Matrix
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- On the perturbative S-matrix of generalized sine-Gordon models
- Classical and Quantum Solitons in the Symmetric Space Sine-Gordon Theories
- Aspects of Integrability in AdS/CFT Duality
- The Semi-Classical Spectrum of Solitons and Giant Magnons
- The Relativistic Avatars of Giant Magnons and their S-Matrix
- On S-Matrix factorization of the Landau-Lifshitz model
- Exact solutions for N-magnon scattering
- The Structure of Non-Abelian Kinks
- Symplectic Deformations of Integrable Field Theories and AdS/CFT
- N-body Dynamics of Giant Magnons in RxS2
- Pohlmeyer reduction for superstrings in AdS space
- Solitons as baryons and qualitons as constituent quarks in two-dimensional QCD