Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

High Energy Physics - Theory

arXiv:1402.1297 (hep-th)
[Submitted on 6 Feb 2014 (v1), last revised 3 Jun 2014 (this version, v3)]

Title:Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator

Authors:Krzysztof Andrzejewski, Anton Galajinsky, Joanna Gonera, Ivan Masterov
View PDF
Abstract:It is demonstrated that the Pais-Uhlenbeck oscillator in arbitrary dimension enjoys the l-conformal Newton-Hooke symmetry provided frequencies of oscillation form the arithmetic sequence omega_k=(2k-1) omega_1, where k=1,...,n, and l is the half-integer (2n-1)/2. The model is shown to be maximally superintegrable. A link to n decoupled isotropic oscillators is discussed and an interplay between the l-conformal Newton-Hooke symmetry and symmetries characterizing each individual isotropic oscillator is analyzed.
Comments: V3:Introduction extended, one reference added. The version to appear in NPB
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Report number: LMP-TPU-1/14
Cite as: arXiv:1402.1297 [hep-th]
  (or arXiv:1402.1297v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1402.1297
Related DOI: https://doi.org/10.1016/j.nuclphysb.2014.05.025

Submission history

From: Anton Galajinsky [view email]
[v1] Thu, 6 Feb 2014 09:56:08 UTC (13 KB)
[v2] Mon, 17 Feb 2014 02:53:25 UTC (13 KB)
[v3] Tue, 3 Jun 2014 05:27:11 UTC (14 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
hep-th
< prev   |   next >
new | recent | 2014-02
Change to browse by:
math
math-ph
math.MP

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)