Structural Theory and Classification of 2D Adinkras
Adinkras are combinatorial objects developed to study (1-dimensional) supersymmetry representations. Recently, 2D Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2D Adinkras, confirming a conjecture of T. Hübsch. Along the way, we obtain other struct...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/3980613 |
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| _version_ | 1832545495792222208 |
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| author | Kevin Iga Yan X. Zhang |
| author_facet | Kevin Iga Yan X. Zhang |
| author_sort | Kevin Iga |
| collection | DOAJ |
| description | Adinkras are combinatorial objects developed to study (1-dimensional) supersymmetry representations. Recently, 2D Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2D Adinkras, confirming a conjecture of T. Hübsch. Along the way, we obtain other structural results, including a simple characterization of Hübsch’s even-split doubly even codes. |
| format | Article |
| id | doaj-art-3875f5a40e184a9597776e071d695787 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-3875f5a40e184a9597776e071d6957872025-02-03T07:25:31ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/39806133980613Structural Theory and Classification of 2D AdinkrasKevin Iga0Yan X. Zhang1Natural Science Division, Pepperdine University, 24255 Pacific Coast Highway, Malibu, CA 90263, USADepartment of Mathematics, University of California, 970 Evans Hall, Berkeley, CA 94720-3840, USAAdinkras are combinatorial objects developed to study (1-dimensional) supersymmetry representations. Recently, 2D Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2D Adinkras, confirming a conjecture of T. Hübsch. Along the way, we obtain other structural results, including a simple characterization of Hübsch’s even-split doubly even codes.http://dx.doi.org/10.1155/2016/3980613 |
| spellingShingle | Kevin Iga Yan X. Zhang Structural Theory and Classification of 2D Adinkras Advances in High Energy Physics |
| title | Structural Theory and Classification of 2D Adinkras |
| title_full | Structural Theory and Classification of 2D Adinkras |
| title_fullStr | Structural Theory and Classification of 2D Adinkras |
| title_full_unstemmed | Structural Theory and Classification of 2D Adinkras |
| title_short | Structural Theory and Classification of 2D Adinkras |
| title_sort | structural theory and classification of 2d adinkras |
| url | http://dx.doi.org/10.1155/2016/3980613 |
| work_keys_str_mv | AT keviniga structuraltheoryandclassificationof2dadinkras AT yanxzhang structuraltheoryandclassificationof2dadinkras |