SU(1,2) invariance in two-dimensional oscillator

Abstract

Performing the Hamiltonian analysis we explicitly established the canonical equivalence of the deformed oscillator, constructed in arXiv:1607.03756, with the ordinary one. As an immediate consequence, we proved that the SU(1, 2) symmetry is the dynamical symmetry of the ordinary two-dimensional oscillator. The characteristic feature of this SU(1, 2) symmetry is a non-polynomial structure of its generators written in terms of the oscillator variables.

Original language	English
Article number	6
Journal	Journal of High Energy Physics
Volume	2017
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2017)006
Publication status	Published - 1 Feb 2017

Keywords

Conformal and W Symmetry
Global Symmetries
Space-Time Symmetries

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP02(2017)006

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title = "SU(1,2) invariance in two-dimensional oscillator",

abstract = "Performing the Hamiltonian analysis we explicitly established the canonical equivalence of the deformed oscillator, constructed in arXiv:1607.03756, with the ordinary one. As an immediate consequence, we proved that the SU(1, 2) symmetry is the dynamical symmetry of the ordinary two-dimensional oscillator. The characteristic feature of this SU(1, 2) symmetry is a non-polynomial structure of its generators written in terms of the oscillator variables.",

keywords = "Conformal and W Symmetry, Global Symmetries, Space-Time Symmetries",

author = "Sergey Krivonos and Armen Nersessian",

year = "2017",

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AU - Nersessian, Armen

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AB - Performing the Hamiltonian analysis we explicitly established the canonical equivalence of the deformed oscillator, constructed in arXiv:1607.03756, with the ordinary one. As an immediate consequence, we proved that the SU(1, 2) symmetry is the dynamical symmetry of the ordinary two-dimensional oscillator. The characteristic feature of this SU(1, 2) symmetry is a non-polynomial structure of its generators written in terms of the oscillator variables.

KW - Conformal and W Symmetry

KW - Global Symmetries

KW - Space-Time Symmetries

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