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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Integrable deformations of strings on symmetric spaces

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Author(s):
Hollowood, Timothy J. [1] ; Luis Miramontes, J. [2, 3] ; Schmidtt, David M. [1, 4]
Total Authors: 3
Affiliation:
[1] Swansea Univ, Dept Phys, Swansea SA2 8PP, W Glam - Wales
[2] Univ Santiago de Compostela, Dept Fis Particulas, Santiago De Compostela 15782 - Spain
[3] Univ Santiago de Compostela, IGFAE, Santiago De Compostela 15782 - Spain
[4] Univ Estadual Paulista, Inst Fis Teor IFT, BR-01140070 Sao Paulo - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Journal of High Energy Physics; n. 11 NOV 4 2014.
Web of Science Citations: 64
Abstract

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)

FAPESP's process: 13/23328-1 - Coherent states, supersymmetric localization and the Pohlmeyer reduction
Grantee:Fernando David Marmolejo Schmidtt
Support type: Scholarships abroad - Research Internship - Post-doctor