Superconformal Unified Field Theory

We present the gauge theory of the graded conformal group. It contains four real fields with spins 2, $\frac{3}{2}$, 1, and ½. The theory is invariant under local proper conformal, scale, chiral, gravitational, and supersymmetry transformations. This is the first of a class of superunified field theories, possessing $\mathrm{U}\mathrm{}\left(n\right)\mathrm{}$ rather than $\mathrm{O}\mathrm{}\left(n\right)\mathrm{}$ internal gauge symmetries and without a cosmological constant. Unitarity, renormalizability, and asymptotic states and the cancellation of some complicated higher-order terms in one of the two supersymmetry variations remain to be investigated.