A Covariant Framework for Generalized Spinor Dual Structures
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911466392649728 |
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| author | Rogerio, Rodolfo José Bueno Cavalcanti, Rogerio Teixeira Fabbri, Luca |
| author_facet | Rogerio, Rodolfo José Bueno Cavalcanti, Rogerio Teixeira Fabbri, Luca |
| contents | In this work, we propose a novel framework for defining the dual structure of a spinor. This construction relies on the basis elements of the Clifford algebra, leading to a covariant structure that embeds the dual. The formulation includes free parameters that may be adjusted to meet specific requirements. Remarkably, it enables the explicit construction of representatives for each class within a recently proposed general classification of spinors. In addition to recovering known results, the formalism paves the way for the development of potential new theories in a manifestly covariant setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05819 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Covariant Framework for Generalized Spinor Dual Structures Rogerio, Rodolfo José Bueno Cavalcanti, Rogerio Teixeira Fabbri, Luca Mathematical Physics In this work, we propose a novel framework for defining the dual structure of a spinor. This construction relies on the basis elements of the Clifford algebra, leading to a covariant structure that embeds the dual. The formulation includes free parameters that may be adjusted to meet specific requirements. Remarkably, it enables the explicit construction of representatives for each class within a recently proposed general classification of spinors. In addition to recovering known results, the formalism paves the way for the development of potential new theories in a manifestly covariant setting. |
| title | A Covariant Framework for Generalized Spinor Dual Structures |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2506.05819 |