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

2024/09/06 by Takumi Iwane, Iwane, Takumi, Shintarou Yanagida +1
Chemistry · Mathematics · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Axial and Atropisomeric Chirality Synthesis #FOS: Mathematics #Molecular spectroscopy and chirality #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2409.04220

openalex publication_date 2024/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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