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Integrable deformations of strings on symmetric spaces

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Autor(es):
Hollowood, Timothy J. ; Luis Miramontes, J. ; Schmidtt, David M.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 11, p. 35-pg., 2014-11-04.
Resumo

A 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 x 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 AdS(5) x S-5. (AU)

Processo FAPESP: 13/23328-1 - Estados coerentes, localização supersimétrica e a redução de Pohlmeyer
Beneficiário:Fernando David Marmolejo Schmidtt
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado