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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.12994 |
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| _version_ | 1866908324521312256 |
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| author | Melong, Fridolin Wulkenhaar, Raimar |
| author_facet | Melong, Fridolin Wulkenhaar, Raimar |
| contents | In this paper, we construct the $W_{1+\infty}$-n-algebras in the framework of the generalized quantum algebra. We characterize the $\mathcal{R}(p,q)$-multi-variable $W_{1+\infty}$-algebra and derive its $n$-algebra which is the generalized Lie algebra for $n$ even. Furthermore, we investigate the $\mathcal{R}(p,q)$-elliptic hermitian matrix model and determine a toy model for the generalized quantum $W_{\infty}$ constraints. Also, we deduce particular cases of our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12994 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of the $W_{1+\infty}$-n-algebra and applications Melong, Fridolin Wulkenhaar, Raimar Mathematical Physics In this paper, we construct the $W_{1+\infty}$-n-algebras in the framework of the generalized quantum algebra. We characterize the $\mathcal{R}(p,q)$-multi-variable $W_{1+\infty}$-algebra and derive its $n$-algebra which is the generalized Lie algebra for $n$ even. Furthermore, we investigate the $\mathcal{R}(p,q)$-elliptic hermitian matrix model and determine a toy model for the generalized quantum $W_{\infty}$ constraints. Also, we deduce particular cases of our results. |
| title | Characterization of the $W_{1+\infty}$-n-algebra and applications |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2504.12994 |