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A Simple Model of Double Dynamics on Lie Groups

  • Patrizia VitaleEmail author
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 229)

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 \(SB(2,\mathbb {C})\), the Lie Poisson dual of SU(2). We thus introduce a parent action on the Drinfel’d 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.

Keywords

Generalized geometry Double field theory T-duality Poisson-lie symmetry 

Notes

Acknowledgements

P. V. acknowledges support by COST (European Cooperation in Science and Technology) in the framework of COST Action MP1405 QSPACE.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Dipartimento di Fisica “E. Pancini”Università di Napoli Federico II and INFN-Sezione di Napoli, Complesso Universitario di Monte S. Angelo Edificio 6NapoliItaly

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