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Lobachevsky geometry of (super)conformal mechanics |
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| Authors: | Tigran Hakobyan Armen Nersessian |
| Affiliation: | a Yerevan State University, Alex Manoogian St. 1, 375025, Yerevan, Armenia b Artsakh State University, Mkhitar Gosh St. 3, Stepanakert, Azerbaijan c Yerevan Physics Institute, Alikhanian St. 2, 375036, Yerevan, Armenia |
| 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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