On the supersymmetric $N=1$ and $N=(1,1)$ spectral data : A multiplicativity property
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arXiv
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| Format: | Preprint |
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2017
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| _version_ | 1866915733009596416 |
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| author | Guin, Satyajit |
| author_facet | Guin, Satyajit |
| contents | We show that there are six different choice of tensor product of supersymmetric N=(1,1) spectral data in the context of supersymmetric quantum theory and noncommutative geometry. We also show that the procedure of extending a supersymmetric N=1 spectral data to N=(1,1) spectral data respects only one tensor product among these. We refer this as the multiplicativity property of the extension procedure. Therefore, if we demand that the extension procedure is multiplicative then there is a unique choice of tensor product of N=(1,1) spectral data. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1708_03104 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | On the supersymmetric $N=1$ and $N=(1,1)$ spectral data : A multiplicativity property Guin, Satyajit Operator Algebras Mathematical Physics 58B34, 46L87, 81T75 We show that there are six different choice of tensor product of supersymmetric N=(1,1) spectral data in the context of supersymmetric quantum theory and noncommutative geometry. We also show that the procedure of extending a supersymmetric N=1 spectral data to N=(1,1) spectral data respects only one tensor product among these. We refer this as the multiplicativity property of the extension procedure. Therefore, if we demand that the extension procedure is multiplicative then there is a unique choice of tensor product of N=(1,1) spectral data. |
| title | On the supersymmetric $N=1$ and $N=(1,1)$ spectral data : A multiplicativity property |
| topic | Operator Algebras Mathematical Physics 58B34, 46L87, 81T75 |
| url | https://arxiv.org/abs/1708.03104 |