Conformal mechanics in Newton-Hooke spacetime

Anton Galajinsky

Research output: Contribution to journal › Article

38 Citations (Scopus)

Abstract

Conformal many-body mechanics in Newton-Hooke spacetime is studied within the framework of the Lagrangian formalism. Global symmetries and Noether charges are given in a form convenient for analyzing the flat space limit. N = 2 superconformal extension is built and a new class on N = 2 models related to simple Lie algebras is presented. A decoupling similarity transformation on N = 2 quantum mechanics in Newton-Hooke spacetime is discussed.

Original languageEnglish
Pages (from-to)586-604
Number of pages19
JournalNuclear Physics B
Volume832
Issue number3
DOIs
Publication statusPublished - 21 Jun 2010

Fingerprint

newton
decoupling
quantum mechanics
algebra
formalism
symmetry

Keywords

  • Conformal Newton-Hooke algebra
  • Many-body mechanics
  • Supersymmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Conformal mechanics in Newton-Hooke spacetime. / Galajinsky, Anton.

In: Nuclear Physics B, Vol. 832, No. 3, 21.06.2010, p. 586-604.

Research output: Contribution to journal › Article

Galajinsky, A 2010, 'Conformal mechanics in Newton-Hooke spacetime', Nuclear Physics B, vol. 832, no. 3, pp. 586-604. https://doi.org/10.1016/j.nuclphysb.2010.02.023
Galajinsky A. Conformal mechanics in Newton-Hooke spacetime. Nuclear Physics B. 2010 Jun 21;832(3):586-604. https://doi.org/10.1016/j.nuclphysb.2010.02.023
Galajinsky, Anton. / Conformal mechanics in Newton-Hooke spacetime. In: Nuclear Physics B. 2010 ; Vol. 832, No. 3. pp. 586-604.
@article{f1379ea66ca64bb49b26b163e86be70a,
title = "Conformal mechanics in Newton-Hooke spacetime",
abstract = "Conformal many-body mechanics in Newton-Hooke spacetime is studied within the framework of the Lagrangian formalism. Global symmetries and Noether charges are given in a form convenient for analyzing the flat space limit. N = 2 superconformal extension is built and a new class on N = 2 models related to simple Lie algebras is presented. A decoupling similarity transformation on N = 2 quantum mechanics in Newton-Hooke spacetime is discussed.",
keywords = "Conformal Newton-Hooke algebra, Many-body mechanics, Supersymmetry",
author = "Anton Galajinsky",
year = "2010",
month = "6",
day = "21",
doi = "10.1016/j.nuclphysb.2010.02.023",
language = "English",
volume = "832",
pages = "586--604",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Conformal mechanics in Newton-Hooke spacetime

AU - Galajinsky, Anton

PY - 2010/6/21

Y1 - 2010/6/21

N2 - Conformal many-body mechanics in Newton-Hooke spacetime is studied within the framework of the Lagrangian formalism. Global symmetries and Noether charges are given in a form convenient for analyzing the flat space limit. N = 2 superconformal extension is built and a new class on N = 2 models related to simple Lie algebras is presented. A decoupling similarity transformation on N = 2 quantum mechanics in Newton-Hooke spacetime is discussed.

AB - Conformal many-body mechanics in Newton-Hooke spacetime is studied within the framework of the Lagrangian formalism. Global symmetries and Noether charges are given in a form convenient for analyzing the flat space limit. N = 2 superconformal extension is built and a new class on N = 2 models related to simple Lie algebras is presented. A decoupling similarity transformation on N = 2 quantum mechanics in Newton-Hooke spacetime is discussed.

KW - Conformal Newton-Hooke algebra

KW - Many-body mechanics

KW - Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=77949279641&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77949279641&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2010.02.023

DO - 10.1016/j.nuclphysb.2010.02.023

M3 - Article

VL - 832

SP - 586

EP - 604

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -

Access to Document