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arXiv · 0803.1293

Lobachevsky geometry of (super)conformal mechanics

Tigran Hakobyan·Armen Nersessian
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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). We also extend this picture to the N=2k superconformal mechanics described in terms of Lobachevsky superspace.

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Tigran Hakobyan, Armen Nersessian. 2008-03-15. Lobachevsky geometry of (super)conformal mechanics. https://doi.org/10.1016/j.physleta.2009.01.036

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