Fermionic Non-Invertible Symmetries in (1+1)d

Abstract: I will describe fermionic non-invertible symmetries in (1+1)d, which are generalized global symmetries that mix fermion parity symmetry with other invertible and non-invertible internal symmetries. Mathematically, such symmetries are described by fusion π-supercategories with a choice of fermion parity. Using the formalism of the Symmetry Topological Field Theory (SymTFT), I will present the Landau paradigm for categorical  fermionic symmetries. This talk is based on arXiv:2405.09754

HEP - phenomenologyHEP - theorymathematical physicscategory theory

Audience: researchers in the topic

Symmetry Seminar

Series comments: Weekly seminar on generalized symmetries in QFT, string theory and related topics.