  Recent theoretical research on tensor gauge theories led to the discovery of
an exotic type of quasiparticles, dubbed fractons, that obey both charge and
dipole conservation. Here we describe physical implementation of dipole
conservation laws in realistic systems. We show that fractons find a natural
realization in hole-doped antiferromagnets. There, individual holes are largely
immobile, while dipolar hole pairs move with ease. First, we demonstrate a
broad parametric regime of fracton behavior in hole-doped two-dimensional Ising
antiferromagnets viable through five orders in perturbation theory. We then
specialize to the case of holes confined to one dimension in an otherwise
two-dimensional antiferromagnetic background, which can be realized via the
application of external fields in experiments, and prove ideal fracton
behavior. We explicitly map the model onto a fracton Hamiltonian featuring
conservation of dipole moment. Manifestations of fractonicity in these systems
include gravitational clustering of holes. We also discuss diagnostics of
fracton behavior, which we argue is borne out in existing experimental results.
