  We consider a family of SU(2)-symmetric Projected Entangled Paired States
(PEPS) on the square lattice, defining colored-Resonating Valence Bond (RVB)
states, to describe the quantum disordered phase of the $J_1-J_2$ frustrated
Heisenberg model.For $J_2/J_1\sim 0.55$ we show the emergence of critical
(algebraic) dimer-dimer correlations -- typical of Rokhsar-Kivelson (RK) points
of quantum dimer models on bipartite lattices -- while, simultaneously, the
spin-spin correlation length remains short. Our findings are consistent with a
spin liquid or a weak Valence Bond Crystal in the neighborhood of an RK point.
