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

Fingerprint Dive into the research topics of 'SU(1,2) invariance in two-dimensional oscillator'. Together they form a unique fingerprint.

Cite this

Krivonos, S., & Nersessian, A. (2017). SU(1,2) invariance in two-dimensional oscillator. Journal of High Energy Physics, 2017(2), [6]. https://doi.org/10.1007/JHEP02(2017)006

@article{b728a59cd4f5474e978e47b724b0f379,

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",

month = feb,

day = "1",

doi = "10.1007/JHEP02(2017)006",

language = "English",

volume = "2017",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer Verlag",

number = "2",

}

TY - JOUR

T1 - SU(1,2) invariance in two-dimensional oscillator

AU - Krivonos, Sergey

AU - Nersessian, Armen

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=85013825575&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85013825575&partnerID=8YFLogxK

U2 - 10.1007/JHEP02(2017)006

DO - 10.1007/JHEP02(2017)006

M3 - Article

AN - SCOPUS:85013825575

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 2

M1 - 6

ER -