Title: Cage-net condensation: a wave-function picture for discrete fracton phases*

In this work, we present a wavefunction approach for studying a large class of fracton phases, which generically support excitations with restricted mobility. We show that a large class of three-dimensional fracton phases can be understood as the condensation of extended objects, dubbed “cage-nets”. These highly fluctuating cage-nets provide a simple wave-function picture for understanding a class of discrete fracton states. We also construct two simple exactly solvable models in which the ground state wavefunctions are cage-net condensates. These models support fractons and non-Abelian excitations that can only move in one- or two-dimensions. We further argue that the fractons will not carry any topological degeneracy in the construction employed in this work.