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- W2944677206 abstract "The doubled target space of the fundamental closed string is identified with its phase space and described by an almost para-Hermitian geometry. We explore this setup in the context of group manifolds which admit a maximally isotropic subgroup. This leads to a formulation of the Poisson-Lie $sigma$-model and Poisson-Lie T-duality in terms of para-Hermitian geometry. The emphasis is put on so called half-integrable setups where only one of the Lagrangian subspaces of the doubled space has to be integrable. Using the dressing coset construction in Poisson-Lie T-duality, we extend our construction to more general coset spaces. This allows to explicitly obtain a huge class of para-Hermitian geometries. Each of them is automatically equipped which a generalized frame field, required for consistent generalized Scherk-Schwarz reductions. As examples we present integrable $lambda$- and $eta$-deformations on the three- and two-sphere." @default.
- W2944677206 created "2019-05-16" @default.
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- W2944677206 creator A5063942324 @default.
- W2944677206 creator A5073704967 @default.
- W2944677206 date "2019-10-01" @default.
- W2944677206 modified "2023-09-30" @default.
- W2944677206 title "Para-Hermitian geometries for Poisson-Lie symmetric σ-models" @default.
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- W2944677206 doi "https://doi.org/10.1007/jhep10(2019)160" @default.
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