  We analyze the possibility of emergent quantum multicritical points (MCPs)
with enlarged chiral symmetry, when strongly interacting gapless Dirac fermions
acquire comparable propensity toward the nucleation of Kekul\'{e} valence-bond
solid (KVBS) and charge-density-wave ($N_b=1$) or $s$-wave pairing ($N_b=2$) or
anti-ferromagnet ($N_b=3$) in honeycomb lattice, where $N_b$ counts the number
of bosonic order parameter components. Besides the cubic terms present in the
order parameter description of KVBS due to the breaking of a discrete $Z_3$
symmetry, quantum fluctuations generate new cubic vertices near the high
symmetry MCPs. All cubic terms are strongly relevant at the bare level near
three spatial dimensions, about which we perform a leading order
renormalization group analysis of coupled Gross-Neveu-Yukawa field theory. We
show that due to non-trivial Yukawa interactions among gapless bosonic and
fermionic degrees of freedom, all cubic terms ultimately become irrelevant at
an $O(2+N_b)$ symmetric MCP, near two spatial dimensions, where $N_b=1,2,3$.
Therefore, MCPs with an enlarged $O(2+N_b)$ symmetry near KVBS ordering are
stable.
