$N_K=1$ SUSY structure of chiral de Rham complex from the factorization structure
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917770297344000 |
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| author | Iwane, Takumi Yanagida, Shintarou |
| author_facet | Iwane, Takumi Yanagida, Shintarou |
| contents | We elucidate the comment in (Kapranov-Vasserot, Adv.\ Math., 2011, Remark 5.3.4) that the $1|1$-dimensional factorization structure of the formal superloop space of a smooth algebraic variety $X$ induces the $N_K=1$ SUSY vertex algebra structure of the chiral de Rham complex of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04220 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $N_K=1$ SUSY structure of chiral de Rham complex from the factorization structure Iwane, Takumi Yanagida, Shintarou Quantum Algebra Algebraic Geometry We elucidate the comment in (Kapranov-Vasserot, Adv.\ Math., 2011, Remark 5.3.4) that the $1|1$-dimensional factorization structure of the formal superloop space of a smooth algebraic variety $X$ induces the $N_K=1$ SUSY vertex algebra structure of the chiral de Rham complex of $X$. |
| title | $N_K=1$ SUSY structure of chiral de Rham complex from the factorization structure |
| topic | Quantum Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2409.04220 |