English

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

Quantum Algebra 2024-09-09 v1 Algebraic Geometry

Abstract

We elucidate the comment in (Kapranov-Vasserot, Adv.\ Math., 2011, Remark 5.3.4) that the 111|1-dimensional factorization structure of the formal superloop space of a smooth algebraic variety XX induces the NK=1N_K=1 SUSY vertex algebra structure of the chiral de Rham complex of XX.

Cite

@article{arxiv.2409.04220,
  title  = {$N_K=1$ SUSY structure of chiral de Rham complex from the factorization structure},
  author = {Takumi Iwane and Shintarou Yanagida},
  journal= {arXiv preprint arXiv:2409.04220},
  year   = {2024}
}

Comments

16 pages

R2 v1 2026-06-28T18:36:24.514Z