Publications at the Riemann Center

Minimal realization of ℓ-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation

Authored by

Sergey Krivonos, Olaf Lechtenfeld, Alexander Sorin

Abstract

We present the minimal realization of the ℓ-conformal Galilei group in 2+1 dimensions on a single complex field. The simplest Lagrangians yield the complex PaisUhlenbeck oscillator equations. We introduce a minimal deformation of the ℓ = 1/2 conformal Galilei (a.k.a. Schrödinger) algebra and construct the corresponding invariant actions. Based on a new realization of the d = 1 conformal group, we find a massive extension of the near-horizon Kerr-dS/AdS metric.

Details

Organisation(s)
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
External Organisation(s)
Joint Institute for Nuclear Research
National Research Nuclear University (MEPhI)
Dubna International University
Type
Article
Journal
Journal of high energy physics
Volume
2016
ISSN
1126-6708
Publication date
01.10.2016
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Nuclear and High Energy Physics
Electronic version(s)
https://doi.org/10.1007/JHEP10(2016)078 (Access: Open )