### Abstract

A representation of the conformal Newton-Hooke algebra on a phase space of n particles in arbitrary dimension which interact with one another via a generic conformal potential and experience a universal cosmological repulsion or attraction is constructed. The minimal N = 2 superconformal extension of the Newton-Hooke algebra and its dynamical realization in many-body mechanics are studied.

Original language | English |
---|---|

Pages (from-to) | 510-515 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 680 |

Issue number | 5 |

DOIs | |

Publication status | Published - 12 Oct 2009 |

### Fingerprint

### Keywords

- Many-body mechanics
- Newton-Hooke superalgebra

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**N = 2 superconformal Newton-Hooke algebra and many-body mechanics.** / Galajinsky, Anton.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - N = 2 superconformal Newton-Hooke algebra and many-body mechanics

AU - Galajinsky, Anton

PY - 2009/10/12

Y1 - 2009/10/12

N2 - A representation of the conformal Newton-Hooke algebra on a phase space of n particles in arbitrary dimension which interact with one another via a generic conformal potential and experience a universal cosmological repulsion or attraction is constructed. The minimal N = 2 superconformal extension of the Newton-Hooke algebra and its dynamical realization in many-body mechanics are studied.

AB - A representation of the conformal Newton-Hooke algebra on a phase space of n particles in arbitrary dimension which interact with one another via a generic conformal potential and experience a universal cosmological repulsion or attraction is constructed. The minimal N = 2 superconformal extension of the Newton-Hooke algebra and its dynamical realization in many-body mechanics are studied.

KW - Many-body mechanics

KW - Newton-Hooke superalgebra

UR - http://www.scopus.com/inward/record.url?scp=70349414378&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349414378&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2009.09.037

DO - 10.1016/j.physletb.2009.09.037

M3 - Article

VL - 680

SP - 510

EP - 515

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 5

ER -