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arXiv · 2504.11935

Note on supersymmetric mechanics with spin-orbit interaction

Sergey Krivonos·Armen Nersessian
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Abstract

We propose a simple model of two-dimensional N=2 superconformal mechanics with a spin-orbit interaction term and demonstrate that it inherits the Galilean symmetry of the initial free-particle system. We then propose a quaternionic counterpart of this system, which describes the four-dimensional N=4 superconformal mechanics$D(1,2|\alpha). The bosonic part of the Hamiltonian describes a free particle on the cone, while the fermionic part necessarily includes the spin-orbit interaction term.

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Sergey Krivonos, Armen Nersessian. 2025-04-16. Note on supersymmetric mechanics with spin-orbit interaction. https://arxiv.org/abs/2504.11935

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