Hollowood, Timothy J.Miramontes Antas, José LuisSchmidtt, David M.2020-04-162020-04-162014Hollowood, T.J., Miramontes, J.L. & Schmidtt, D.M. Integrable deformations of strings on symmetric spaces. J. High Energ. Phys. 2014, 9 (2014). https://doi.org/10.1007/JHEP11(2014)0091029-8479http://hdl.handle.net/10347/21459A general class of deformations of integrable sigma-models with symmetric space F/G target-spaces are found. These deformations involve defining the non-abelian T dual of the sigma-model and then replacing the coupling of the Lagrange multiplier imposing flatness with a gauged F/F WZW model. The original sigma-model is obtained in the limit of large level. The resulting deformed theories are shown to preserve both integrability and the equations-of-motion, but involve a deformation of the symplectic structure. It is shown that this deformed symplectic structure involves a linear combination of the original Poisson bracket and a generalization of the Faddeev-Reshetikhin Poisson bracket which we show can be re-expressed as two decoupled F current algebras. It is then shown that the deformation can be incorporated into the classical model of strings on R×F/G via a generalization of the Pohlmeyer reduction. In this case, in the limit of large sigma-model coupling it is shown that the theory becomes the relativistic symmetric space sine-Gordon theory. These results point to the existence of a deformation of this kind for the full Green-Schwarz superstring on AdS5 × S5eng© 2014 The Authors. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madehttps://creativecommons.org/licenses/by/4.0Integrable Field TheoriesQuantum GroupsAdS-CFT correspondencejournal article10.1007/JHEP11(2014)009open access