Published October 17, 2016 | Version v1
Journal article Metadata-only

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

Creators

  • 1. Bogoliubov Laboratory of Theoretical Physics, JINR,141980 Dubna (Russian Federation)
  • 2. Institut für Theoretische Physik and Riemann Center for Geometry and Physics,Leibniz Universität Hannover,Appelstrasse 2, D-30167 Hannover (Germany)
  • 3. Dubna International University,141980, Dubna (Russian Federation)
  • 4. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute),Kashirskoe Shosse 31, 115409 Moscow (Russian Federation)

Description

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 Pais-Uhlenbeck 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.

Availability note (English)

Available from http://dx.doi.org/10.1007/JHEP10(2016)078; Available from http://repo.scoap3.org/record/17563

Additional details

Identifiers

URL
https://repo.scoap3.org/record/17563;
DOI
10.1007/JHEP10(2016)078;
arXiv
arXiv:1607.03756v2;

Publishing Information

Journal Title
Journal of High Energy Physics (Online)
Journal Volume
2016
Journal Issue
10
Journal Page Range
p. 78
ISSN
1029-8479

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48056570
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
Descriptors DEI
ALGEBRA; ANTI DE SITTER SPACE; BLACK HOLES; CONFORMAL GROUPS; CONFORMAL INVARIANCE; LAGRANGIAN FUNCTION; OSCILLATORS; SPACE-TIME; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
ELECTRONIC EQUIPMENT; EQUIPMENT; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL SPACE; MATHEMATICS; SPACE; SYMMETRY GROUPS

Optional Information

Copyright
Copyright (c) OPEN ACCESS, © The Authors
Notes
PUBLISHER-ID: JHEP10(2016)078; ARXIV:1607.03756; OAI: oai:repo.scoap3.org:17563
Funding organization
SCOAP3, CERN, Geneva (Switzerland)