U(64)Dynamical Supersymmetry in Nuclei

We suggest that a supersymmetry scheme based on the supergroup $\mathrm{U}\left(\frac{6}{4}\right)$ may be useful in describing many properties of nuclei in the Os-Pt region. The bosons and fermions in the fundamental representation of $\mathrm{U}\left(\frac{6}{4}\right)$ are the low-lying collective (bosonic) and single-particle (fermionic) degrees of freedom. Experimental evidence indicates that the scheme applies to several nuclei in the region within ≈ 30%. This appears to be the first observed example of a supersymmetry.