Algebras over a symmetric fusion category and integrations

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.