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The low-energy singlet dynamics of the Quantum Heisenberg Antiferromagnet onthe Kagome lattice is described by a quantitative Quantum Dimer Model. Usingadvanced numerical tools, the latter is shown to exhibit Valence Bond Crystalorder with a large 36-site unit cell and hidden degeneracy between even and oddparities. Evidences are given that this groundstate lies in the vicinity of a$\mathbb{Z}_2$ dimer liquid region separated by a Quantum Critical Point.Implications regarding numerical analysis and experiments are discussed.

Effective Quantum Dimer Model for the Kagome Heisenberg Antiferromagnet: Nearby Quantum Critical Point and Hidden Degeneracy