Two faces of $N=7,8$ superconformal mechanics
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908441474236416 |
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| author | Krivonos, Sergey Nersessian, Armen |
| author_facet | Krivonos, Sergey Nersessian, Armen |
| contents | Two variants of $N=7$ superconformal mechanics with manifest $so(7)$ and $su(2) \times su(2)$ $R$-symmetries possessing exceptional $G(3)$ dynamical symmetry are presented. To construct these $G(3)$ theories, we developed two new versions of covariant embedding of the exceptional $g_2$ algebra into the $so(7)$ algebra and then the embedding of $so(7)$ into $so(8)$. As a result, two $N=8$ superconformal mechanics with the $OSp(8|2)$ and $F(4)$ superconformal algebras and $N=7, G(3)$ superconformal mechanics were constructed in a uniform way. The constants of the octonion multiplication play a key role in the construction of superconformal mechanics with manifest $so(7)$ symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13651 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two faces of $N=7,8$ superconformal mechanics Krivonos, Sergey Nersessian, Armen High Energy Physics - Theory Two variants of $N=7$ superconformal mechanics with manifest $so(7)$ and $su(2) \times su(2)$ $R$-symmetries possessing exceptional $G(3)$ dynamical symmetry are presented. To construct these $G(3)$ theories, we developed two new versions of covariant embedding of the exceptional $g_2$ algebra into the $so(7)$ algebra and then the embedding of $so(7)$ into $so(8)$. As a result, two $N=8$ superconformal mechanics with the $OSp(8|2)$ and $F(4)$ superconformal algebras and $N=7, G(3)$ superconformal mechanics were constructed in a uniform way. The constants of the octonion multiplication play a key role in the construction of superconformal mechanics with manifest $so(7)$ symmetry. |
| title | Two faces of $N=7,8$ superconformal mechanics |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.13651 |