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A general class of deformations of integrable sigma-models with symmetricspace F/G target-spaces are found. These deformations involve defining thenon-abelian T dual of the sigma-model and then replacing the coupling of theLagrange multiplier imposing flatness with a gauged F/F WZW model. The originalsigma-model is obtained in the limit of large level. The resulting deformedtheories are shown to preserve both integrability and the equations-of-motion,but involve a deformation of the symplectic structure. It is shown that thisdeformed symplectic structure involves a linear combination of the originalPoisson bracket and a generalization of the Faddeev-Reshetikhin Poisson bracketwhich we show can be re-expressed as two decoupled F current algebras. It isthen shown that the deformation can be incorporated into the classical model ofstrings on R x F/G via a generalization of the Pohlmeyer reduction. In thiscase, in the limit of large sigma-model coupling it is shown that the theorybecomes the relativistic symmetric space sine-Gordon theory. These resultspoint to the existence of a deformation of this kind for the full Green-Schwarzsuperstring on AdS5 x S5.

Integrable Deformations of Strings on Symmetric Spaces