Hidden symmetries of deformed oscillators

authored by

Sergey Krivonos, Olaf Lechtenfeld, Alexander Sorin

Abstract

We associate with each simple Lie algebra a system of second-order differential equations invariant under a non-compact real form of the corresponding Lie group. In the limit of a contraction to a Schrödinger algebra, these equations reduce to a system of ordinary harmonic oscillators. We provide two clarifying examples of such deformed oscillators: one system invariant under SO(2,3) transformations, and another system featuring G₂₍₂₎ symmetry. The construction of invariant actions requires adding semi-dynamical degrees of freedom; we illustrate the algorithm with the two examples mentioned.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)
National Research Nuclear University (MEPhI)
Dubna International University

Type

Artikel

Journal

Nuclear Physics B

Volume

924

Pages

33-46

No. of pages

14

ISSN

0550-3213

Publication date

11.2017

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1016/j.nuclphysb.2017.09.003 (Access: Offen)