Massless field equations for spin 3/2 in dimension 6
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866910589485318144 |
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| author | Lavicka, Roman Soucek, Vladimir Wang, Wei |
| author_facet | Lavicka, Roman Soucek, Vladimir Wang, Wei |
| contents | Main topic of the paper is a study of properties of massless fields of spin 3/2 in its Euclidean version. A lot of information is available already for massless fields in dimension 4. Here, we concentrate on dimension 6 and we are using the fact that the group SL(4,C) is isomorphic with the group Spin(6,C). It makes it possible to use tensor formalism for massless fields. Main problems treated in the paper are a description of fields which need to be considered in the spin 3/2 case, a suitable choice of equations they should satisfy, irreducibility of homogeneous solutions of massless field equations, the Fischer decomposition and the Howe duality for such fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09728 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Massless field equations for spin 3/2 in dimension 6 Lavicka, Roman Soucek, Vladimir Wang, Wei Mathematical Physics Complex Variables Representation Theory 30G35, 33C55, 22E46 Main topic of the paper is a study of properties of massless fields of spin 3/2 in its Euclidean version. A lot of information is available already for massless fields in dimension 4. Here, we concentrate on dimension 6 and we are using the fact that the group SL(4,C) is isomorphic with the group Spin(6,C). It makes it possible to use tensor formalism for massless fields. Main problems treated in the paper are a description of fields which need to be considered in the spin 3/2 case, a suitable choice of equations they should satisfy, irreducibility of homogeneous solutions of massless field equations, the Fischer decomposition and the Howe duality for such fields. |
| title | Massless field equations for spin 3/2 in dimension 6 |
| topic | Mathematical Physics Complex Variables Representation Theory 30G35, 33C55, 22E46 |
| url | https://arxiv.org/abs/2311.09728 |