We study the static defect structure of a Z₃ scalar field theory, with emphasis on domain walls, wall tension, and Y-junction configurations. Using analytic arguments and numerical checks, we characterize the vacua, the corresponding wall solutions, and the energy organization of junctions formed by intersecting walls. The results clarify the topology and energetics of the model and provide a compact reference for further work on discrete-symmetry defect networks.
Troy Jensen (Sun,) studied this question.