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http://earchive.tpu.ru/handle/11683/74934
Title: | Generalised point vortices on a plane |
Authors: | Galajinsky, Anton Vladimirovich |
Keywords: | точечные вихри; интегрируемые системы; масштабность; симметрия; суперсимметрия; point vortices; integrable systems; scale symmetry; supersymmetry |
Issue Date: | 2022 |
Publisher: | Elsevier Science Publishing Company Inc |
Citation: | Galajinsky, A. V. Generalised point vortices on a plane / A. V. Galajinsky // Physics Letters B. — 2022. — Vol. 829. — [137119, 5 p.]. |
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. |
URI: | http://earchive.tpu.ru/handle/11683/74934 |
Appears in Collections: | Репринты научных публикаций |
Files in This Item:
File | Description | Size | Format | |
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reprint-nw-39833.pdf | 322,15 kB | Adobe PDF | View/Open |
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