Boundary and domain wall theories of 2d generalized quantum double model

The generalized quantum double lattice realization of 2d topological orders based on Hopf algebras is discussed in this work. Both left-module and right-module constructions are investigated. ribbon operators the classification excitations representations discussed. To generalize model to a surface with boundaries defects, we present systematic construction boundary Hamiltonian domain wall Hamiltonian. algebraic data behind gapped comodule bicomodule algebras. classified by bimodules over these operator boundary-bulk duality also Finally, via tensor network representation many-body states, solve ground state presence wall.