Generalised point vortices on a plane
Copyright policy )Generalised point vortices on a plane
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.
11 pages
- Tomsk Polytechnic University Russian Federation
High Energy Physics - Theory, scale symmetry, Supersymmetry and quantum mechanics, QC1-999, point vortices, FOS: Physical sciences, integrable systems, точечные вихри, суперсимметрия, Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.), Scale symmetry, Simple groups: alternating groups and groups of Lie type, Root systems, Point vortices, симметрия, Special quantum systems, such as solvable systems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Physics, интегрируемые системы, масштабность, High Energy Physics - Theory (hep-th), Integrable systems, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Supersymmetry, supersymmetry, Exactly Solvable and Integrable Systems (nlin.SI), Spinor and twistor methods applied to problems in quantum theory
High Energy Physics - Theory, scale symmetry, Supersymmetry and quantum mechanics, QC1-999, point vortices, FOS: Physical sciences, integrable systems, точечные вихри, суперсимметрия, Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.), Scale symmetry, Simple groups: alternating groups and groups of Lie type, Root systems, Point vortices, симметрия, Special quantum systems, such as solvable systems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Physics, интегрируемые системы, масштабность, High Energy Physics - Theory (hep-th), Integrable systems, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Supersymmetry, supersymmetry, Exactly Solvable and Integrable Systems (nlin.SI), Spinor and twistor methods applied to problems in quantum theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!