Weak generators of W-algebras for type $A$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915607084007424 |
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| author | Park, Min Hee Suh, Uhi Rinn |
| author_facet | Park, Min Hee Suh, Uhi Rinn |
| contents | In this paper, we find weak generating sets for a classical W-algebra $\mathcal{W}^k(\mathfrak{g},f)$ when $\mathfrak{g}=\mathfrak{sl}_N$ or $\mathfrak{sl}_{N_1|N_2}$. Furthermore, observing the relation between quantum and classical W-algebras, we further derive crucial information about the weak generating sets of quantum W-algebras at generic levels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak generators of W-algebras for type $A$ Park, Min Hee Suh, Uhi Rinn Mathematical Physics In this paper, we find weak generating sets for a classical W-algebra $\mathcal{W}^k(\mathfrak{g},f)$ when $\mathfrak{g}=\mathfrak{sl}_N$ or $\mathfrak{sl}_{N_1|N_2}$. Furthermore, observing the relation between quantum and classical W-algebras, we further derive crucial information about the weak generating sets of quantum W-algebras at generic levels. |
| title | Weak generators of W-algebras for type $A$ |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.06319 |