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| Main Author: | |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2002.03479 |
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| _version_ | 1866910492165931008 |
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| author | Ueda, Mamoru |
| author_facet | Ueda, Mamoru |
| contents | In this paper, we construct a homomorphism from the affine super Yangian $Y_{\ve_1,\ve_2}(\widehat{\mathfrak{sl}}(m|n))$ to the universal enveloping algebra of the rectangular $W$-superalgebra $W^{k}(\mathfrak{gl}(ml|nl),(l^{(m|n)}))$. We also show that the image of this homomorphism is dense provided that $k+(m-n)(l-1)\neq0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_03479 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Affine Super Yangians and Rectangular $W$-superalgebras Ueda, Mamoru Representation Theory 20G42 In this paper, we construct a homomorphism from the affine super Yangian $Y_{\ve_1,\ve_2}(\widehat{\mathfrak{sl}}(m|n))$ to the universal enveloping algebra of the rectangular $W$-superalgebra $W^{k}(\mathfrak{gl}(ml|nl),(l^{(m|n)}))$. We also show that the image of this homomorphism is dense provided that $k+(m-n)(l-1)\neq0$. |
| title | Affine Super Yangians and Rectangular $W$-superalgebras |
| topic | Representation Theory 20G42 |
| url | https://arxiv.org/abs/2002.03479 |