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We have performed large scale variational search for the best RVB ansatz forthe spin-$\frac{1}{2}$ kagome antiferromagnet with both nearest-neighboring(NN)and next-nearest-neighboring(NNN) exchanges assuming only translationalsymmetry. We find the best RVB state is always fully symmetric and has an meanfield ansatz that is gauge equivalent to a previous proposed Z$_{2}$ spinliquid ansatz. The Z$_{2}$ state is found to be slightly more stable than theextensively studied U(1) gapless Dirac spin liquid state in both the$J_{2}\neq0$ and the $J_{2}=0$ case and to possess a small spinon gap for$J_{2}<0.2$. The breaking of the U(1) gauge symmetry in the Z$_{2}$ state isfound to increase with $J_{2}$ and to be quite substantial around $J_{2}=0.15$.However, we find the Z$_{2}$ state is always very close to the gapless U(1)Dirac spin liquid state, although they have very different RVB parameters. Weargue the kagome antiferromagnet should be better understood as a near criticalsystem, rather than a system deep inside a gapped spin liquid phase with wellestablished Z$_{2}$ topological order.

Z$_{2}$ spin liquid phase on the kagome lattice: a new saddle point