A Précis: Minimal Four Color Holoraumy and Wolfram's "New Kind of Science" Paradigm
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916361223012352 |
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| author | Gates, Jr., S. James Youngik Lee |
| author_facet | Gates, Jr., S. James Youngik Lee |
| contents | Adinkras are graphical representations of the gauge invariant field components in supersymmetric theories and their orbits under the action of supersymmetry (SUSY) generators in the context of supermultiplets. A discussion is given that provides a thorough review of the concepts of holoraumy, permutahedra, and gadgets. One consequence of these concepts, the additional concept of hopper operators, is discussed. These play a particularly important role that ignites the processes needed for the study of adinkras related to minimal 4D, $\cal N$ = 1 supermultiplets (chiral, vector, tensor and complex linear supermultiplets) through the prism of very simple cellular automata following Wolfram's `New Kind of Science' paradigm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09342 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Précis: Minimal Four Color Holoraumy and Wolfram's "New Kind of Science" Paradigm Gates, Jr., S. James Youngik Lee High Energy Physics - Theory Adinkras are graphical representations of the gauge invariant field components in supersymmetric theories and their orbits under the action of supersymmetry (SUSY) generators in the context of supermultiplets. A discussion is given that provides a thorough review of the concepts of holoraumy, permutahedra, and gadgets. One consequence of these concepts, the additional concept of hopper operators, is discussed. These play a particularly important role that ignites the processes needed for the study of adinkras related to minimal 4D, $\cal N$ = 1 supermultiplets (chiral, vector, tensor and complex linear supermultiplets) through the prism of very simple cellular automata following Wolfram's `New Kind of Science' paradigm. |
| title | A Précis: Minimal Four Color Holoraumy and Wolfram's "New Kind of Science" Paradigm |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.09342 |