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Poisson-Lie Duality in the String Effective Action

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arxiv hep-th/0106211 v1 pith:K6EK7TDG submitted 2001-06-23 hep-th

classification hep-th
keywords actiondualityeffectivestringfoundpoisson-lietransformationsalgebras
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The symmetry properties of the bosonic string effective action under Poisson-Lie duality transformations are investigated. A convenient and simple formulation of these duality transformations is found, that allows the reduction of the string effective action in a Kaluza-Klein framework. It is shown that the action is invariant provided that the two Lie algebras, forming the Drinfeld double, have traceless structure constants. Finally, a functional relation is found between the Weyl anomaly coefficients of the original and dual non-linear sigma models.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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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