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Homotopy chiral algebras

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arxiv 2408.16787 v1 pith:YWRM7AGQ submitted 2024-08-26 math.AT math-phmath.MP

Homotopy chiral algebras

Fyodor Malikov , Vadim Schechtman This is my paper
classification math.AT math-phmath.MP
keywords chiralalgebraalgebrashomotopyadmitscechcomplexdefine
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We define a notion of a homotopy chiral algebra (HCA), which means a chiral algebra up to higher homotopies, and prove that the Cech complex of a sheaf of chiral algebras admits a structure of a HCA.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Higher-dimensional Chiral Algebras in the Jouanolou Model and free-field realization

    math.QA 2025-10 conditional novelty 7.0

    The authors define d-dimensional homotopy chiral algebras in a Jouanolou model, construct the unit such algebra from Feynman-graph residues, and realize higher Kac-Moody and Virasoro structures via free fields.