Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models
نویسندگان
چکیده
منابع مشابه
Poisson–Lie T–plurality of three–dimensional conformally invariant sigma models
Starting from the classification of 6–dimensional real Drinfeld doubles and their decomposition into Manin triples we construct 3–dimensional Poisson–Lie T–dual or more precisely T–plural sigma models. Of special interest are those that are conformally invariant. Examples of models that satisfy vanishing β–function equations with zero dilaton are presented and their duals are calculated. It tur...
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We look for 3–dimensional Poisson–Lie dualizable sigma models that satisfy the vanishing β–function equations with constant dilaton field. Using the Poisson–Lie T–plurality we then construct 3–dimensional sigma models that correspond to various decompositions of Drinfeld double. Models with nontrivial dilaton field may appear. It turns out that for “traceless” dual algebras they satisfy the van...
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We generalize the prescription realizing classical Poisson–Lie T–duality as canonical transformation to Poisson–Lie T–plurality. The key ingredient is the transformation of left–invariant fields under Poisson–Lie T–plurality. Explicit formulae realizing canonical transformation are presented and the preservation of canonical Poisson brackets and Hamiltonian density is shown. PACS: 02.30.Ik, 04....
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Conditions for the gluing matrix defining consistent boundary conditions of twodimensional nonlinear σ–models are analyzed and reformulated. Transformation properties of the right–invariant fields under Poisson–Lie T–plurality are used to derive a formula for the transformation of the boundary conditions. Examples of transformation of D–branes in two and three dimensions are presented. We find ...
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Poisson-Lie target space duality is a framework where duality transformations are properly defined. In this letter we investigate the dual pair of σ-models defined by the double SO(3,1) in the Iwasawa decomposition .
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2004
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2004/05/010