A note on hidden classes in spinor classification
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910846866685952 |
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| author | Rogerio, R. J. Bueno Cavalcanti, R. T. Villalobos, C. H. Coronado da Silva, J. M. Hoff |
| author_facet | Rogerio, R. J. Bueno Cavalcanti, R. T. Villalobos, C. H. Coronado da Silva, J. M. Hoff |
| contents | The Lounesto classification is a well-established scheme for categorizing spinors based on their physical content, which are determined by their associated bilinear forms. It consists of six disjoint classes encompassing the known spinors within the context of the standard model of high-energy physics. However, advancements in theories beyond the standard model have opened the door to potential new spinorial adjoint structures, leading to new unforeseen classess. These developments indicate the potential for extending the standard Lounesto classification. In this paper, we explore all possible subclasses that could extend the Lounesto scheme. We highlight the most relevant subclasses by imposing constraints to their corresponding dual structures, thus broadening our understanding of spinor and its applications in theoretical physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06675 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on hidden classes in spinor classification Rogerio, R. J. Bueno Cavalcanti, R. T. Villalobos, C. H. Coronado da Silva, J. M. Hoff Mathematical Physics High Energy Physics - Theory The Lounesto classification is a well-established scheme for categorizing spinors based on their physical content, which are determined by their associated bilinear forms. It consists of six disjoint classes encompassing the known spinors within the context of the standard model of high-energy physics. However, advancements in theories beyond the standard model have opened the door to potential new spinorial adjoint structures, leading to new unforeseen classess. These developments indicate the potential for extending the standard Lounesto classification. In this paper, we explore all possible subclasses that could extend the Lounesto scheme. We highlight the most relevant subclasses by imposing constraints to their corresponding dual structures, thus broadening our understanding of spinor and its applications in theoretical physics. |
| title | A note on hidden classes in spinor classification |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.06675 |