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

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-algebras in this 2-category and compute their

E_n

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-centers for

n=0,1,2

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. We also compute the factorization homology of stratified surfaces with coefficients given by

E_n

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-algebras in this 2-category for

n=0,1,2

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satisfying certain anomaly-free conditions.

Keywords

Algebras / Centers / Symmetric monoidal 2-categories / Factorization homology / Mathematical Sciences / Pure Mathematics

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School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature

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