A note on $SU(1,1|n)$ and $OSp(6|2)$ superconformal mechanics
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912773453119488 |
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| author | Kozyrev, Nikolay |
| author_facet | Kozyrev, Nikolay |
| contents | In this article we consider the construction of the superconformal mechanics that realize $SU(1,1|n)$ and $OSp(6|2)$ symmetries and involve interactions with non-Abelian bosonic currents. If is shown that for $N>4$ supersymmetries the currents involved have to satisfy the algebraic equations. General considerations on methods of solving these equations are given. In the obtained particular solutions currents are expressed in terms of semi-dynamical variables (harmonics), and, on one instance, coordinates and momenta. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16477 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on $SU(1,1|n)$ and $OSp(6|2)$ superconformal mechanics Kozyrev, Nikolay High Energy Physics - Theory In this article we consider the construction of the superconformal mechanics that realize $SU(1,1|n)$ and $OSp(6|2)$ symmetries and involve interactions with non-Abelian bosonic currents. If is shown that for $N>4$ supersymmetries the currents involved have to satisfy the algebraic equations. General considerations on methods of solving these equations are given. In the obtained particular solutions currents are expressed in terms of semi-dynamical variables (harmonics), and, on one instance, coordinates and momenta. |
| title | A note on $SU(1,1|n)$ and $OSp(6|2)$ superconformal mechanics |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.16477 |