  We analyze the effects of chiral symmetry restoration in hadronic matter,
including the lowest-lying baryonic resonance $\Delta$ based on the parity
doublet model. We study the role of $\Delta$ and its chiral partner on the
equation of state (EoS) of dense matter under neutron star (NS) conditions of
$\beta$-equilibrium and charge neutrality. We find that the softening of the
EoS driven by the early onset of $\Delta$ matter due to partial restoration of
chiral symmetry allows accommodating the modern multi-messenger astrophysical
constraints on the mass, radius, and tidal deformability. The softening above
the saturation density is accompanied by subsequent stiffening at high
densities. We also find that the matter composition in the NS cores may be
different upon variations of the repulsive interactions of $\Delta$ baryons in
hadronic matter.
