Novel possible symmetries of $S$-matrix generated by $\mathbb{Z}_2^n$-graded Lie superalgebras
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913653040611328 |
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| author | Ito, Ren Nago, Akio |
| author_facet | Ito, Ren Nago, Akio |
| contents | In this paper, we explore the $\mathbb{Z}_2^n$-graded Lie (super)algebras as novel possible generators of symmetries of $S$-matrix. As the results, we demonstrate that a $\mathbb{Z}_2^n$-graded extension of the supersymmetric algebra can be a symmetry of $S$-matrix. Furthermore, it turns out that a $\mathbb{Z}_2^n$-graded Lie algebra appears as internal symmetries. They are natural extensions of Coleman-Mandula theorem and Haag-Lopszanski-Sohnius theorem, which are the no-go theorems for generators of symmetries of $S$-matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07311 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Novel possible symmetries of $S$-matrix generated by $\mathbb{Z}_2^n$-graded Lie superalgebras Ito, Ren Nago, Akio High Energy Physics - Theory Mathematical Physics In this paper, we explore the $\mathbb{Z}_2^n$-graded Lie (super)algebras as novel possible generators of symmetries of $S$-matrix. As the results, we demonstrate that a $\mathbb{Z}_2^n$-graded extension of the supersymmetric algebra can be a symmetry of $S$-matrix. Furthermore, it turns out that a $\mathbb{Z}_2^n$-graded Lie algebra appears as internal symmetries. They are natural extensions of Coleman-Mandula theorem and Haag-Lopszanski-Sohnius theorem, which are the no-go theorems for generators of symmetries of $S$-matrix. |
| title | Novel possible symmetries of $S$-matrix generated by $\mathbb{Z}_2^n$-graded Lie superalgebras |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2501.07311 |