Lieb-Schultz-Mattis type theorem with higher-form symmetry and the quantum dimer models
Lieb-Schultz-Mattis type theorem with higher-form symmetry and the quantum dimer models
The authors construct a Lieb-Schultz-Mattis (LSM)-type theorem applicable for abelian gauge theories without matter. This theorem is based on generalized global symmetries acting on Wilson lines. It provides strong constraints on possible phases, realized in lattice gauge theories. The generalized LSM theorem is demonstrated on the example of a U(1) …