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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| Accès en ligne: | https://arxiv.org/abs/2304.14938 |
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| _version_ | 1866914884043669504 |
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| author | Gupta, Nishant Suryanarayana, Nemani V. |
| author_facet | Gupta, Nishant Suryanarayana, Nemani V. |
| contents | We show that there are four chiral ${\cal W}$-algebra extensions of $\mathfrak{so}(2,3)$ algebra and construct them explicitly. We do this by a simple identification of each of the inequivalent embeddings of a copy of $\mathfrak{sl}(2,{\mathbb R})$ in the $\mathfrak{so}(2,3)$ algebra and the maximal subalgebra $\mathfrak{h}$ that commutes with it. Then using the standard 2d chiral CFT techniques we find the corresponding ${\cal W}$-algebra extensions. Two of the four resultant ${\cal W}$-algebras are new, one of which may be thought of as the conformal $\mathfrak{bms}_3$ algebra valid for finite values of its central charge.} |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_14938 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | All chiral ${\cal W}$-algebra extensions of $\mathfrak{so}(2,3)$ Gupta, Nishant Suryanarayana, Nemani V. High Energy Physics - Theory We show that there are four chiral ${\cal W}$-algebra extensions of $\mathfrak{so}(2,3)$ algebra and construct them explicitly. We do this by a simple identification of each of the inequivalent embeddings of a copy of $\mathfrak{sl}(2,{\mathbb R})$ in the $\mathfrak{so}(2,3)$ algebra and the maximal subalgebra $\mathfrak{h}$ that commutes with it. Then using the standard 2d chiral CFT techniques we find the corresponding ${\cal W}$-algebra extensions. Two of the four resultant ${\cal W}$-algebras are new, one of which may be thought of as the conformal $\mathfrak{bms}_3$ algebra valid for finite values of its central charge.} |
| title | All chiral ${\cal W}$-algebra extensions of $\mathfrak{so}(2,3)$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2304.14938 |