从因式分解结构看手性德拉姆复合体的 $N_K=1$ SUSY 结构

arXiv - MATH - Quantum Algebra Pub Date : 2024-09-06 DOI:arxiv-2409.04220

Takumi Iwane, Shintarou Yanagida

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摘要

我们阐释了（Kapranov-Vasserot，Adv.\ Math.，2011，Remark5.3.4）中的注释，即光滑代数变种 $X$ 的形式超环空间的 1|1$ 维因子化结构诱导了 $X$ 手性 de Rham 复数的 $N_K=1$ SUSYvertex 代数结构。

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$N_K=1$ SUSY structure of chiral de Rham complex from the factorization structure

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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arXiv - MATH - Quantum Algebra

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