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

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External Research Organisations

  • Joint Institute for Nuclear Research
  • National Research Nuclear University (MEPhI)
  • Dubna International University
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Original languageEnglish
Article number78
JournalJournal of high energy physics
Volume2016
Issue number10
Publication statusPublished - 1 Oct 2016

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.

Keywords

    Black Holes, Conformal and W Symmetry, Space-Time Symmetries

ASJC Scopus subject areas

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Minimal realization of ℓ-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation. / Krivonos, Sergey; Lechtenfeld, Olaf; Sorin, Alexander.
In: Journal of high energy physics, Vol. 2016, No. 10, 78, 01.10.2016.

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AU - Sorin, Alexander

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