AbstractTwo-dimensional (2d) topological phases are characterized by a unitary modular tensor category(UMTC) along with the chiral central charge c_. For non-chiral topological phases, where c.vanishes, the topological phase is fully described by a UMTC. There are two prominent classes oflattice models that realize 2d non-chiral topological phases: (i) Kitaevs quantum double models and(il) Levi...
AbstractIn this talk, we propose a new type of global symmetries: the fermionic higher-form symmetries. We discuss examples with fermionic higher-form symmetries as well as the gauging and breaking of such symmetries. The talk is based on the work 2303.12633 with Yi Zhang