{"title":"$N_K=1$ SUSY structure of chiral de Rham complex from the factorization structure","authors":"Takumi Iwane, Shintarou Yanagida","doi":"arxiv-2409.04220","DOIUrl":null,"url":null,"abstract":"We elucidate the comment in (Kapranov-Vasserot, Adv.\\ Math., 2011, Remark\n5.3.4) that the $1|1$-dimensional factorization structure of the formal\nsuperloop space of a smooth algebraic variety $X$ induces the $N_K=1$ SUSY\nvertex algebra structure of the chiral de Rham complex of $X$.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"46 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04220","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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 $X$.
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