Details
| Original language | English |
|---|---|
| Pages (from-to) | 33-46 |
| Number of pages | 14 |
| Journal | Nuclear Physics B |
| Volume | 924 |
| Publication status | Published - Nov 2017 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Nuclear Physics B, Vol. 924, 11.2017, p. 33-46.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Hidden symmetries of deformed oscillators
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
AU - Sorin, Alexander
N1 - Funding Information: The work of S.K. was partially supported by RFBR grant 15-52-05022 Arm-a and the Heisenberg-Landau program. The work of O.L. and of A.S. was partially supported by DFG grant Le-838/12-2 . The work of A.S. was partially supported also by RFBR grant 15-52-05022 Arm-a , RFBR grant 16-52-12012-NNIO-a and the Heisenberg-Landau program. This article is based upon work from COST Action MP1405 QSPACE , supported by COST (European Cooperation in Science and Technology). Publisher Copyright: © 2017 The Authors Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/11
Y1 - 2017/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85033396711&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2017.09.003
DO - 10.1016/j.nuclphysb.2017.09.003
M3 - Article
AN - SCOPUS:85033396711
VL - 924
SP - 33
EP - 46
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -