Properties of HYMNs in Examples of Four-Color, Five-Color, and Six-Color Adinkras
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866909592496111616 |
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| author | Gates, Jr., S. James Hu, Yangrui Stiffler, Kory |
| author_facet | Gates, Jr., S. James Hu, Yangrui Stiffler, Kory |
| contents | The mathematical concept of a "Banchoff index" associated with discrete Morse functions for oriented triangular meshes has been shown to correspond to the height assignments of nodes in adinkras. In recent work there has been introduced the concept of "Banchoff matrices" leading to HYMNs - height yielding matrix numbers. HYMNs map the shape of an adinkra to a set of eigenvalues derived from Banchoff matrices. In the context of some examples of four-color, minimal five-color, and minimal six-color adinkras, properties of the HYMNs are explored. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2010_14659 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Properties of HYMNs in Examples of Four-Color, Five-Color, and Six-Color Adinkras Gates, Jr., S. James Hu, Yangrui Stiffler, Kory High Energy Physics - Theory Representation Theory 81T60, 20C35 G.2.2 The mathematical concept of a "Banchoff index" associated with discrete Morse functions for oriented triangular meshes has been shown to correspond to the height assignments of nodes in adinkras. In recent work there has been introduced the concept of "Banchoff matrices" leading to HYMNs - height yielding matrix numbers. HYMNs map the shape of an adinkra to a set of eigenvalues derived from Banchoff matrices. In the context of some examples of four-color, minimal five-color, and minimal six-color adinkras, properties of the HYMNs are explored. |
| title | Properties of HYMNs in Examples of Four-Color, Five-Color, and Six-Color Adinkras |
| topic | High Energy Physics - Theory Representation Theory 81T60, 20C35 G.2.2 |
| url | https://arxiv.org/abs/2010.14659 |