Generalised point vortices on a plane
| Parent link: | Physics Letters B Vol. 829.— 2022.— [137119, 5 p.] |
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| المؤلف الرئيسي: | |
| مؤلف مشترك: | |
| الملخص: | Title screen 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. |
| منشور في: |
2022
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://earchive.tpu.ru/handle/11683/74934 https://doi.org/10.1016/j.physletb.2022.137119 |
| التنسيق: | الكتروني فصل الكتاب |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=668596 |
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| 200 | 1 | |a Generalised point vortices on a plane |f A. V. Galajinsky | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References.: 17 tit.] | ||
| 330 | |a 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. | ||
| 461 | |t Physics Letters B | ||
| 463 | |t Vol. 829 |v [137119, 5 p.] |d 2022 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a point vortices | |
| 610 | 1 | |a integrable systems | |
| 610 | 1 | |a scale symmetry | |
| 610 | 1 | |a supersymmetry | |
| 610 | 1 | |a точечные вихри | |
| 610 | 1 | |a интегрируемые системы | |
| 610 | 1 | |a масштабность | |
| 610 | 1 | |a симметрия | |
| 610 | 1 | |a суперсимметрия | |
| 700 | 1 | |a Galajinsky |b A. V. |c Doctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT) |c Professor of the TPU |f 1971- |g Anton Vladimirovich |3 (RuTPU)RU\TPU\pers\27878 |9 12894 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Исследовательская школа физики высокоэнергетических процессов |c (2017- ) |3 (RuTPU)RU\TPU\col\23551 |
| 801 | 0 | |a RU |b 63413507 |c 20230331 |g RCR | |
| 856 | 4 | |u http://earchive.tpu.ru/handle/11683/74934 | |
| 856 | 4 | |u https://doi.org/10.1016/j.physletb.2022.137119 | |
| 942 | |c CF | ||