Lobachevsky geometry of (super)conformal mechanics

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space (non-compact complex projective plane). We also extend this picture to the N=2k superconformal mechanics described in terms of Lobachevsky superspace.
5 pages

Keywords

High Energy Physics - Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/219758

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.1293
 http://arxiv.org/abs/0803.1293
 Phys.Lett.A373:1001-1004,2009
 doi:10.1016/j.physleta.2009.01.036

Collections

arXiv