Para-fusion Category and Topological Defect Lines in ${\mathbb{Z}}_N$-parafermionic CFTs

Jin Chen, Babak Haghighat, Qing-Rui Wang

We study topological defect lines (TDLs) in two-dimensional ${\mathbb{Z}}_N$-parafermoinic CFTs. Different from the bosonic case, in the 2d parafermionic CFTs, there exist parafermion…