  The dual role played by symmetry in many-body physics manifests itself
through two fundamental mechanisms: spontaneous symmetry breaking and
topological symmetry protection. These two concepts, ubiquitous in both
condensed matter and high energy physics, have been applied successfully in the
last decades to unravel a plethora of complex phenomena. Their interplay,
however, remains largely unexplored. Here we report how, in the presence of
strong correlations, symmetry protection emerges dynamically from a set of
configurations enforced by another broken symmetry. This novel mechanism spawns
different intertwined topological phases, where topological properties coexist
with long-range order. Such a singular interplay gives rise to interesting
static and dynamical effects, including interaction-induced topological phase
transitions constrained by symmetry breaking, as well as a self-adjusted
fractional pumping. This work paves the way for further exploration of exotic
topological features in strongly-correlated quantum systems.
