  We investigate the possibility of exotic phenomena, viz. quantum spin liquid
(QSL) or deconfined quantum critical point (DQCP), in the spin-$\frac{1}{2}$
Heisenberg model on the maple-leaf lattice, a geometrically frustrated system
formed by hexagons (coupling $J_h$), triangles (coupling $J_t$), and dimers
(coupling $J_d$). We identify one promising region, given by $J_h > 0$ and
$J_t, J_d < 0$, for hosting enticing physics. In this region, the quantum phase
diagram of the system exhibits an interplay between N\'eel order and a gapped
dimerized singlet phase. This arrangement holds the possibility of harboring a
QSL and a DQCP. Using bond-operator mean-field theory and density matrix
renormalization group calculations, we delve into this uncharted territory,
revealing tantalizing evidence of the existence of a QSL phase and highlighting
its potential as a platform for DQCP.
