Please use this identifier to cite or link to this item:
http://acervodigital.unesp.br/handle/11449/130040
- Title:
- Integrable deformations of strings on symmetric spaces
- Swansea Univ
- Univ Santiago de Compostela
- Universidade Estadual Paulista (UNESP)
- 1029-8479
- STFC
- MINECO
- Spanish Consolider-Ingenio Programme CPAN
- Xunta de Galicia
- FEDER
- Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- STFC: ST/G000506/1
- MINECO: FPA2011-22594
- Spanish Consolider-Ingenio Programme CPAN: CSD2007-00042
- Xunta de Galicia: GRC2013-024
- FAPESP: 2013/23328-1
- 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.
- 4-Nov-2014
- Journal Of High Energy Physics. New York: Springer, n. 11, 35 p., 2014.
- 35
- Springer
- Integrable Field Theories
- Quantum Groups
- AdS-CFT Correspondence
- http://link.springer.com/article/10.1007%2FJHEP11%282014%29009
- Acesso aberto
- outro
- http://repositorio.unesp.br/handle/11449/130040
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