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arXiv · 2409.04220

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

Takumi Iwane·Shintarou Yanagida
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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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Takumi Iwane, Shintarou Yanagida. 2024-09-06. $N_K=1$ SUSY structure of chiral de Rham complex from the factorization structure. https://arxiv.org/abs/2409.04220

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