Generalised point vortices on a plane
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Publication:2140708
DOI10.1016/J.PHYSLETB.2022.137119zbMATH Open1496.81066arXiv2203.00273OpenAlexW4224295116MaRDI QIDQ2140708
Author name not available (Why is that?)
Publication date: 23 May 2022
Published in: (Search for Journal in Brave)
Abstract: A three-vortex system on a plane is known to be minimally superintegrable in the Liouville sense. In this work, integrable generalisations of the three-vortex planar model, which involve root vectors of simple Lie algebras, are proposed. It is shown that a generalised system, which is governed by a positive definite Hamiltonian, admits a natural integrable extension by spin degrees of freedom. It is emphasised that the n-vortex planar model and plenty of its generalisations enjoy the nonrelativistic scale invariance, which gives room for possible holographic applications.
Full work available at URL: https://arxiv.org/abs/2203.00273
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