Note on supersymmetric mechanics with spin-orbit interaction
arXiv:2504.11935
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|α). The bosonic part of the Hamiltonian describes a free particle on the cone, while the fermionic part necessarily includes the spin-orbit interaction term.
v2.reference added. Contribution to the Proceedings of the Workshop "Supersymmetries and Quantum Symmetries" (SQS'2024, July 29 - August 3, 2024, Dubna )