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Raviolo vertex algebras, cochains and conformal blocks

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arxiv 2401.11917 v1 pith:43UWYRO3 submitted 2024-01-22 math.QA

Luigi Alfonsi , Hyungrok Kim , Charles A. S. Young This is my paper · ORCID
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keywords ravioloalgebrasblockscoinvariantsconformalvertexarxivbehaviour
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Raviolo vertex algebras were introduced recently by Garner and Williams in arXiv:2308.04414. Working at the level of cochain complexes, in the present paper we construct spaces of conformal blocks, or more precisely their duals, coinvariants, in the raviolo setting. We prove that the raviolo state-field map correctly captures the limiting behaviour of coinvariants as marked points collide.

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  1. 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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