Lobachevsky geometry of (super)conformal mechanics

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dc.creatorHakobyan, Tigran
dc.creatorNersessian, Armen
dc.date2008-03-09
dc.date2008-03-15
dc.date.accessioned2026-07-07T12:41:24Z
dc.date.available2026-07-07T12:41:24Z
dc.descriptionWe 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.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0803.1293
dc.identifierhttp://arxiv.org/abs/0803.1293
dc.identifierPhys.Lett.A373:1001-1004,2009
dc.identifierdoi:10.1016/j.physleta.2009.01.036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219758
dc.subjectHigh Energy Physics - Theory
dc.titleLobachevsky geometry of (super)conformal mechanics
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