Year: 2025
Type: article
Abstract: We propose a simple model of two-dimensional $$\mathcal{N} = 2$$ 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 $$\mathcal{N} = 4$$ superconformal mechanics $$D(1,2{\kern 1pt} |{\kern 1pt} \alpha )$$ . The bosonic part of the Hamiltonian describes a free particle on the cone, while the fermionic part necessarily includes the spin–orbit interaction term.
Authors: S. Krivonos, A. Nersessian
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416855394