Generalized super-$W_{1+\infty}$-$n$-algebra and Landau Problem
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909584052977664 |
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| author | Melong, Fridolin Wulkenhaar, Raimar |
| author_facet | Melong, Fridolin Wulkenhaar, Raimar |
| contents | We investigate the $\mathcal{R}(p,q)$-super $n$-bracket and study their properties such that the generalized super Jacobi identity (GJSI). Furthermore, from the $\mathcal{R}(p,q)$-operators in a Supersymmetric Landau problem, we furnish the $\mathcal{R}(p,q)$-super $W_{1+\infty}$ $n$-algebra which obey the generalized super Jacobi identity (GSJI) for $n$ even. Also, we derive the $\mathcal{R}(p,q)$-super $W_{1+\infty}$ sub-$2n$-algebra and deduce particular cases induced by quantum algebras existing in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized super-$W_{1+\infty}$-$n$-algebra and Landau Problem Melong, Fridolin Wulkenhaar, Raimar Mathematical Physics We investigate the $\mathcal{R}(p,q)$-super $n$-bracket and study their properties such that the generalized super Jacobi identity (GJSI). Furthermore, from the $\mathcal{R}(p,q)$-operators in a Supersymmetric Landau problem, we furnish the $\mathcal{R}(p,q)$-super $W_{1+\infty}$ $n$-algebra which obey the generalized super Jacobi identity (GSJI) for $n$ even. Also, we derive the $\mathcal{R}(p,q)$-super $W_{1+\infty}$ sub-$2n$-algebra and deduce particular cases induced by quantum algebras existing in the literature. |
| title | Generalized super-$W_{1+\infty}$-$n$-algebra and Landau Problem |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2504.13319 |