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Classification of Poisson-Lie T-dual models with two-dimensional targets

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arxiv hep-th/0110139 v2 pith:TS3FGEKH submitted 2001-10-16 hep-th

classification hep-th
keywords drinfeldmaninmodelspoisson-liet-dualtriplestwo-dimensionalallowing
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Four-dimensional Manin triples and Drinfeld doubles are classified and corresponding two-dimensional Poisson-Lie T-dual sigma models on them are constructed. The simplest example of a Drinfeld double allowing decomposition into two nontrivially different Manin triples is presented.

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Cited by 1 Pith paper

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  1. Non-Abelian target space duals of Thurston geometries

    hep-th 2025-05 conditional novelty 5.0 of 10

    For most Thurston geometries, the paper constructs explicit non-Abelian T-dual metrics and B-fields via Poisson-Lie duality, yielding 20 string backgrounds.

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