Foliated Quantum Field Theory of Fracton Order and String-Membrane-Net Condensation

Foliated fracton order is a new kind of phase of matter which is similar to topological order, but where a layered structure, referred to as a foliation, plays an essential role (in addition to topology) and determines the mobility restrictions of the topological excitations characteristic of fracton phases. I will introduce a new kind of field theory to describe these phases: a foliated field theory. I will also introduce a new string-membrane-net condensation picture of these phases, which is analogous to the string-net condensation picture of topological order.