The Magic Star of Exceptional Periodicity
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2017
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913678095286272 |
|---|---|
| author | Truini, Piero Rios, Michael Marrani, Alessio |
| author_facet | Truini, Piero Rios, Michael Marrani, Alessio |
| contents | We present a periodic infinite chain of finite generalisations of the exceptional structures, including e8, the exceptional Jordan algebra (and pair), and the octonions. We demonstrate that the exceptional Jordan algebra is part of an infinite family of finite-dimensional matrix algebras (corresponding to a particular class of cubic Vinberg's T-algebras). Correspondingly, we prove that e8 is part of an infinite family of algebras (dubbed "Magic Star" algebras) that resemble lattice vertex algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_07881 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | The Magic Star of Exceptional Periodicity Truini, Piero Rios, Michael Marrani, Alessio High Energy Physics - Theory Mathematical Physics Rings and Algebras Representation Theory 17B25, 17C40, 11R52 We present a periodic infinite chain of finite generalisations of the exceptional structures, including e8, the exceptional Jordan algebra (and pair), and the octonions. We demonstrate that the exceptional Jordan algebra is part of an infinite family of finite-dimensional matrix algebras (corresponding to a particular class of cubic Vinberg's T-algebras). Correspondingly, we prove that e8 is part of an infinite family of algebras (dubbed "Magic Star" algebras) that resemble lattice vertex algebras. |
| title | The Magic Star of Exceptional Periodicity |
| topic | High Energy Physics - Theory Mathematical Physics Rings and Algebras Representation Theory 17B25, 17C40, 11R52 |
| url | https://arxiv.org/abs/1711.07881 |