Integrable deformations of strings on symmetric spaces

作者: David M. Schmidtt , David M. Schmidtt , J. Luis Miramontes , Timothy J. Hollowood

DOI: 10.1007/JHEP11(2014)009

关键词: Mathematical physicsAnti-de Sitter spaceSymmetric spaceSuperstring theoryPhysicsPoisson bracketWess–Zumino–Witten modelIntegrable systemSymplectic geometryAdS/CFT correspondence

摘要: A general class of deformations integrable sigma-models with symmetric space F=G target-spaces are found. These involve dening the non-abelian T dual sigma-model and then replacing coupling Lagrange multiplier imposing atness a gauged F=F WZW model. The original is obtained in limit large level. resulting deformed theories shown to preserve both integrability equations-of-motion, but deformation symplectic structure. It that this structure involves linear combination Poisson bracket generalization Faddeev-Reshetikhin which we show can be re-expressed as two decoupled F current algebras. incorporated into classical model strings on RF=G via Pohlmeyer reduction. In case, it theory becomes relativistic sine-Gordon theory. results point existence kind for full Green-Schwarz superstring AdS5�S 5 .

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