Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1867593 | Physics Letters A | 2009 | 4 Pages |
Abstract
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) CP˜1. We also extend this picture to the N=2kN=2k superconformal mechanics described in terms of Lobachevsky superspace CP˜1|k.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Tigran Hakobyan, Armen Nersessian,