I will introduce fracton fluids, which are translationally invariant many-body interacting systems exhibiting dipole symmetry, and construct a hydrodynamic theory for them based on the symmetry principles. Then, I will discuss fractonic superfluids, where both monopole and dipole symmetries are broken spontaneously. The finite temperature theory has an interpretation of a three-component fluid, but only two components survive in the long-time limit.
Based on https://arxiv.org/abs/2401.01877 and https://arxiv.org/abs/2212.06848