Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866916706469806080 |
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| author | Gates, Jr., S. James Hannon, Gabriel Siew, Rui Xian Stiffler, Kory |
| author_facet | Gates, Jr., S. James Hannon, Gabriel Siew, Rui Xian Stiffler, Kory |
| contents | We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this relationship to be ephemeral beyond six dimensions: it is not demanded by the structure of such supersymmetrical theories. In four dimensions for the case of the vector-tensor $\cal N$ = 4 multiplet, however, we show that such a linkage is present. Reduction to 1D theories presents evidence for a linkage from higher-dimensional supersymmetry to an infinite-dimensional algebra extending $\mathfrak{Spin}(N)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_06124 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations Gates, Jr., S. James Hannon, Gabriel Siew, Rui Xian Stiffler, Kory High Energy Physics - Theory Representation Theory 81T60, 20C35 We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this relationship to be ephemeral beyond six dimensions: it is not demanded by the structure of such supersymmetrical theories. In four dimensions for the case of the vector-tensor $\cal N$ = 4 multiplet, however, we show that such a linkage is present. Reduction to 1D theories presents evidence for a linkage from higher-dimensional supersymmetry to an infinite-dimensional algebra extending $\mathfrak{Spin}(N)$. |
| title | Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations |
| topic | High Energy Physics - Theory Representation Theory 81T60, 20C35 |
| url | https://arxiv.org/abs/2010.06124 |