  Given a two-dimensional bosonic theory with a non-anomalous $\mathbb{Z}_2$
symmetry, the orbifolding and fermionization can be understood holographically
using three-dimensional BF theory with level $2$. From a Hamiltonian
perspective, the information of dualities is encoded in a topological boundary
state which is defined as an eigenstate of certain Wilson loop operators
(anyons) in the bulk. We generalize this story to two-dimensional theories with
non-anomalous $\mathbb{Z}_N$ symmetry, focusing on parafermionization. We find
the generic operators defining different topological boundary states including
orbifolding and parafermionization with $\mathbb{Z}_N$ or subgroups of
$\mathbb{Z}_N$, and discuss their algebraic properties as well as the
$\mathbb{Z}_N$ duality web.
