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

Sergey Krivonos; Olaf Lechtenfeld; Alexander Sorin

doi:10.1007/JHEP10(2016)078

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

Sergey Krivonos, Olaf Lechtenfeld^*, Alexander Sorin

^*Corresponding author for this work

Research output: Contribution to journal › Article › Research › peer review

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.

Original language	English
Article number	78
Journal	Journal of high energy physics
Volume	2016
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2016)078
Publication status	Published - 1 Oct 2016

Keywords

Black Holes
Conformal and W Symmetry
Space-Time Symmetries

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP10(2016)078

Cite this

@article{376ad0ece2c6484f8d5b70851a991e68,

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

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. Schr{\"o}dinger) 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",

author = "Sergey Krivonos and Olaf Lechtenfeld and Alexander Sorin",

year = "2016",

month = oct,

day = "1",

doi = "10.1007/JHEP10(2016)078",

language = "English",

volume = "2016",

journal = "Journal of high energy physics",

issn = "1126-6708",

publisher = "Springer Verlag",

number = "10",

}

TY - JOUR

T1 - Minimal realization of ℓ-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation

AU - Krivonos, Sergey

AU - Lechtenfeld, Olaf

AU - Sorin, Alexander

PY - 2016/10/1

Y1 - 2016/10/1

N2 - 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.

AB - 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.

KW - Black Holes

KW - Conformal and W Symmetry

KW - Space-Time Symmetries

UR - http://www.scopus.com/inward/record.url?scp=84992166380&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2016)078

DO - 10.1007/JHEP10(2016)078

M3 - Article

AN - SCOPUS:84992166380

SN - 1126-6708

VL - 2016

JO - Journal of high energy physics

JF - Journal of high energy physics

IS - 10

M1 - 78

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this