Vortices and Fractons*

We propose a novel mechanism for fractons with promising experimental availability. More concretely, we demonstrate that a system of vortices in an incompressible superfluid exhibits fractonic behavior; rooted in non-commutativity of the configuration space. This system exhibits conservation of dipole moment of vorticity as well as trace of quadrupole moment. We show an equivalence to Traceless Scalar Charge Theory; both analytically and through phenomenological comparison. The conservation laws persist in the collective field theory of many vortices. We show that behavior of the vortex system on curved surfaces agrees with the existing literature on fractons. This mechanism for fractonicity opens up a new paradigm of interesting extensions. We offer one such example that exhibits an even higher set of conservation laws.