  Motivated by the unabating interest in the spin-1/2 Heisenberg
antiferromagnetic model on the Kagome lattice, we investigate the energetics of
projected Schwinger boson (SB) wave functions in the $J_1$--$J_2$ model with
antiferromagnetic $J_2$ coupling. Our variational Monte Carlo results show that
Sachdev's $Q_1=Q_2$ SB ansatz has a lower energy than the Dirac spin liquid for
$J_2\gtrsim 0.08 J_1$ and the ${\bf q=0}$ Jastrow type magnetically ordered
state. This work demonstrates that the projected SB wave functions can be
tested on the same footing as their fermionic counterparts.
