N=1Supergravity with Nonminimal Coupling: A Class of Models

The component formulation of the Wess-Zumino superspace action leads, when compared with the general results of Cremmer et al., to a nonminimal version of $N=1\mathrm{}$ supergravity. A new superpotential, $g_2\mathrm{}\left(z\right)\mathrm{}$, has been found that gives a scalar potential $V\left(z\right)\mathrm{}$ that is even in $z$ and which breaks supersymmetry inside the circle of radius $\frac{\sqrt{6}}{\kappa }$ in the complex $〈z〉$ plane.