Kramers-Wannier Duality and Kennedy-Tasaki Transformation in Subsystem Symmetric Lattice Models

Non-invertible symmetries, a concept that extends beyond traditional group-based symmetries has gained attention in both condensed matter and high-energy physics. A key example is the Kramers-Wannier duality, which we will generalize to higher-dimensional subsystem symmetric models. We will present an explicit operator representation of this duality, for lattice models based on a sequential circuit and symmetry subspace projection. Additionally, we will introduce the Kennedy-Tasaki transformation, which connects subsystem symmetry-protected topological phases with spontaneous symmetry-breaking phases. Lastly, we will touch on the potential for non-invertible subsystem symmetry-protected topological phases and offer concrete examples.