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arXiv · 2105.08638

A Simple Model of Double Dynamics on Lie Groups

Patrizia Vitale
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Abstract

We study the dynamics of the rigid rotator on the group manifold of SU(2) as an instance of dynamics on Lie groups together with a dual model whose carrier space is the Borel group SB(2,C), the Lie Poisson dual of SU(2). We thus introduce a parent action on the Drinfeldd double of the above mentioned groups, which describes the dynamics of a system with twice as many degrees of freedom as the two starting partners. Through a gauging procedure of its global symmetries both the rigid rotor and the dual model are recovered.

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Patrizia Vitale. 2021-05-18. A Simple Model of Double Dynamics on Lie Groups. https://doi.org/10.1007/978-3-030-24748-5_19

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