Commuting Clifford actions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912087325802496 |
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| author | Barrett, John W. |
| author_facet | Barrett, John W. |
| contents | It shown that if a vector space carries commuting actions of two Clifford algebras, then the quadratic monomials using generators from either Clifford algebra determine a spinor representation of an orthogonal Lie algebra.
Examples of this construction have applications to high energy physics, particularly to the standard model and unification. It is shown how to use Clifford data to construct spectral triples for the Pati-Salam model that admit an action of Spin(10). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Commuting Clifford actions Barrett, John W. Mathematical Physics High Energy Physics - Theory Quantum Algebra 15A66, 58B34 It shown that if a vector space carries commuting actions of two Clifford algebras, then the quadratic monomials using generators from either Clifford algebra determine a spinor representation of an orthogonal Lie algebra. Examples of this construction have applications to high energy physics, particularly to the standard model and unification. It is shown how to use Clifford data to construct spectral triples for the Pati-Salam model that admit an action of Spin(10). |
| title | Commuting Clifford actions |
| topic | Mathematical Physics High Energy Physics - Theory Quantum Algebra 15A66, 58B34 |
| url | https://arxiv.org/abs/2405.08716 |