  Heavy fermion semimetals represent a promising setting to explore topological
metals driven by strong correlations. In this paper, we i) summarize the
theoretical results in a Weyl-Kondo semimetal phase for a strongly correlated
model with inversion-symmetry-breaking and time-reversal invariance, and the
concurrent work that has experimentally discovered this phase in the
non-magnetic non-centrosymmetric heavy fermion system Ce$_3$Bi$_4$Pd$_3$; and
ii) describe what is expected theoretically when the time-reversal symmetry is
also broken.
