Free Field Realization of Supersymmetric W-algebras
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914890321494016 |
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| author | Song, Arim |
| author_facet | Song, Arim |
| contents | We show that supersymmetric(SUSY) W-algebra of generic level can be realized as an intersection of the kernels of the screening operators. Applying this result to principal SUSY W-algebras, we get their free field realization inside the SUSY Heisenberg vertex algebras. Furthermore, the screening operators for principal SUSY W-algebras allow us to present them as intersections of the principal SUSY W-algebras associated with $\mathfrak{osp}(1|2)$, $\mathfrak{osp}(2|2)$, $\mathfrak{osp}(3|2)$ and $\mathfrak{osp}(4|2)$, tensored with SUSY Heisenberg vertex algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05275 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free Field Realization of Supersymmetric W-algebras Song, Arim Mathematical Physics We show that supersymmetric(SUSY) W-algebra of generic level can be realized as an intersection of the kernels of the screening operators. Applying this result to principal SUSY W-algebras, we get their free field realization inside the SUSY Heisenberg vertex algebras. Furthermore, the screening operators for principal SUSY W-algebras allow us to present them as intersections of the principal SUSY W-algebras associated with $\mathfrak{osp}(1|2)$, $\mathfrak{osp}(2|2)$, $\mathfrak{osp}(3|2)$ and $\mathfrak{osp}(4|2)$, tensored with SUSY Heisenberg vertex algebras. |
| title | Free Field Realization of Supersymmetric W-algebras |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2404.05275 |