Note on supersymmetric mechanics with spin-orbit interaction
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912755947143168 |
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| author | Krivonos, Sergey Nersessian, Armen |
| author_facet | Krivonos, Sergey Nersessian, Armen |
| contents | 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$D(1,2|α). The bosonic part of the Hamiltonian describes a free particle on the cone, while the fermionic part necessarily includes the spin-orbit interaction term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11935 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on supersymmetric mechanics with spin-orbit interaction Krivonos, Sergey Nersessian, Armen High Energy Physics - Theory We propose a simple model of two-dimensional N=2 superconformal mechanics with a spin-orbit interaction term and demonstrate that it inherits the Galilean symmetry of the initial free-particle system. We then propose a quaternionic counterpart of this system, which describes the four-dimensional N=4 superconformal mechanics$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. |
| title | Note on supersymmetric mechanics with spin-orbit interaction |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.11935 |