Lobachevsky geometry of (super)conformal mechanics
Copyright policy )Lobachevsky geometry of (super)conformal mechanics
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.
5 pages
- Alikhanyan National Laboratory Armenia
- Yerevan State University Armenia
- Artsakh State University Azerbaijan
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Finite affine and projective planes (geometric aspects), FOS: Physical sciences, Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Finite affine and projective planes (geometric aspects), FOS: Physical sciences, Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
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