Poisson-Lie T-Duality and non trivial monodromies

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dc.creatorCabrera, A.
dc.creatorMontani, H.
dc.creatorZuccalli, M.
dc.date2007-12-13
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:12Z
dc.date.available2026-07-07T09:57:12Z
dc.descriptionWe describe a general framework for studying duality between different phase spaces which share the same symmetry group $\mathrm{H}$. Solutions corresponding to collective dynamics become dual in the sense that they are generated by the same curve in $\mathrm{H}$. Explicit examples of phase spaces which are dual with respect to a common non trivial coadjoint orbit $\mathcal{O}_{c,0}(\mathbfα,1) \subset\mathfrak{h}^{\ast}$ are constructed on the cotangent bundles of the factors of a double Lie group $\mathrm{H}=\mathrm{N}\Join\mathrm{N}^{\ast}$. In the case $\mathrm{H}=LD$, the loop group of a Drinfeld double Lie group $D$, a hamiltonian description of Poisson-Lie T-duality for non trivial monodromies and its relation with non trivial coadjoint orbits is obtained.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/0712.2259
dc.identifierhttp://arxiv.org/abs/0712.2259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167256
dc.subjectMathematical Physics
dc.titlePoisson-Lie T-Duality and non trivial monodromies
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