Non-invertible defects in generalized Ising models via strange correlator

Defects associated with non-invertible symmetries have attracted significant attention in recent years. Among them, Kramers–Wannier (KW) duality defects have been investigated in both classical statistical systems and quantum Hamiltonian models. Aasen et al. analyzed duality defects in the 2D Ising model and in statistical models built from fusion categories, while Koide et al. later constructed a duality defect in 4D lattice gauge theory. We extend these developments by providing a systematic construction of KW duality defects/KW defects for a broad class of models formulated within the chain complex framework.