  We investigate the interplay of quantum one-dimensional discrete
$\mathbb{Z}_2$ gauge fields and fermion matter near full filling in terms of
deconfined fractionalized hole excitations that constitute mobile domain walls
between vacua that break spontaneously translation symmetry. In the limit of
strong string tension, we uncover emergent integrable correlated hopping
dynamics of holes which is complementary to the constrained XXZ description in
terms of bosonic dimers. We analyze numerically quantum dynamics of spreading
of an isolated hole together with the associated time evolution of entanglement
and provide analytical understanding of its salient features. We also study the
model enriched with a short-range interaction and clarify the nature of the
resulting ground state at low filling of holes and identify deconfined hole
excitations near the hole filling $\nu^h=1/3$.
