Algebras Over a Symmetric Fusion Category and Integrations

We study the symmetric monoidal 2-category of finite semisimple module categories over a symmetric fusion category. In particular, we study $E_n$-algebras in this 2-category and compute their $E_n$-centers for $n=0,1,2$. We also compute the factorization homology of stratified surfaces with coefficients given by $E_n$-algebras in this 2-category for $n=0,1,2$ satisfying certain anomaly-free conditions.

• Publication year

  2022

• Venue

  Communications in Mathematics and Statistics

• Publication date

  2022-06-01

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1007/s40304-024-00412-7arXiv 2206.00475
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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