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Notes on Factorization Algebras and TQFTs

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arxiv 2307.01306 v1 pith:BRET4WWJ submitted 2023-07-03 math.AT hep-thmath.QA

Araminta Amabel This is my paper · ORCID
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abstract

These are notes from talks given at a spring school on topological quantum field theory in Nova Scotia during May of 2023. The aim is to introduce the reader to the role of factorization algebras and related concepts in field theory. In particular, we discuss the relationship between factorization algebras, $\mathbb{E}_n$-algebras, vertex algebras, and the functorial perspective on field theories.

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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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