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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

Fyodor Malikov , Vadim Schechtman This is my paper · ORCID
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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 2 Pith papers

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

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

    math.QA 2025-10 conditional novelty 7.0 of 10

    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.

  2. On coefficients of operator product expansions for quantum field theories with ordinary, holomorphic, and topological spacetime dimensions

    hep-th 2025-02 conditional novelty 5.0 of 10

    For theories with mixed topological, holomorphic, and ordinary spacetime dimensions, OPE coefficients are proposed to be sheaf cohomology classes, with singular derived coefficients appearing under explicit dimension-...

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