# Fermionic symmetry fractionalization in (2+1)D

@inproceedings{Bulmash2021FermionicSF, title={Fermionic symmetry fractionalization in (2+1)D}, author={Daniel Bulmash and Maissam Barkeshli}, year={2021} }

We develop a systematic theory of symmetry fractionalization for fermionic topological phases of matter in (2+1)D with a general fermionic symmetry group Gf . In general Gf is a central extension of the bosonic symmetry group Gb by fermion parity, p ́1q F , characterized by a nontrivial cohomology class rω2s P H 2pGb,Z2q. We show how the presence of local fermions places a number of constraints on the algebraic data that defines the action of the symmetry on the supermodular tensor category… Expand

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