  Motivated by very recent experimental observations of the 1/9 magnetization
plateaus in YCu$_3$(OH)$_{6+x}$Br$_{3-x}$ and YCu$_3$(OD)$_{6+x}$Br$_{3-x}$,
our study delves into the magnetic field-induced phase transitions in the
nearest-neighbor antiferromagnetic Heisenberg model on the kagome lattice using
the variational Monte Carlo technique. We uncover a phase transition from a
zero-field Dirac spin liquid to a field-induced magnetically disordered phase
that exhibits the 1/9 magnetization plateau. Through a comprehensive analysis
encompassing the magnetization distribution, spin correlations, chiral order
parameter, topological entanglement entropy, ground-state degeneracy, Chern
number and excitation spectrum, we pinpoint the phase associated with this
magnetization plateau as a chiral $\mathbb{Z}_3$ topological quantum spin
liquid and elucidate its diverse physical properties.
