Algebras over a symmetric fusion category and integrations

Xiao-Xue Wei

paper

Algebras over a symmetric fusion category and integrations

arXiv:2206.00475

Abstract

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.