Minimal modular extensions for super-Tannakian categories

Abstract

In this paper, we continue with the ideas presented in [GVR17]. In this opportunity, we apply the fermionic action concept to classify in cohomology terms the minimal modular extensions of a super-Tannakian category. For this goal, we study some properties of equivariantization and de-equivariantization processes and cohomology data for the fermionic case.

First version. arXiv admin note: text overlap with arXiv:1712.07097

References in corpus (2)

• Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries
• Classification of 2+1D topological orders and SPT orders for bosonic and fermionic systems with on-site symmetries

Cited by in corpus (2)

• Classification of topological phases with finite internal symmetries in all dimensions
• Minimal nondegenerate extensions