Lobachevsky geometry of (super)conformal mechanics

Details Lobachevsky geometry of (super)conformal mechanics Lobachevsky geometry of (super)conformal mechanics

2008-03-09

arxiv.org/abs/0803.1293v2

Phys.Lett.A373:1001-1004,2009

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

10.1016/j.physleta.2009.01.036

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.

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