کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893359 1044083 2009 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Poisson–Lie TT-duality and non-trivial monodromies
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Poisson–Lie TT-duality and non-trivial monodromies
چکیده انگلیسی

We describe a general framework for studying duality among different phase spaces which share the same symmetry group H. Solutions corresponding to collective dynamics become dual in the sense that they are generated by the same curve in H. Explicit examples of phase spaces which are dual with respect to a common non-trivial coadjoint orbit Oc,0(α,1)⊂h∗ are constructed on the cotangent bundles of the factors of a double Lie group H=N⋈N∗. In the case H=LD, the loop group of a Drinfeld double Lie group DD, we built up a hamiltonian description of Poisson–Lie TT-duality for non-trivial monodromies and its relation with non-trivial coadjoint orbits is obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 59, Issue 5, May 2009, Pages 576–599
نویسندگان
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