= No-scale vacuum with a cubic matter superpotential
{title2=$K=-3\log(T+\bar T)+|C|^2,\quad W=C^3+B$}
= No-scale vacua with a cubic matter superpotential
{synonym}
The <no-scale supergravity> identity cancels the negative gravitino contribution, leaving $V=e^{|C|^2}|3C^2+\bar C(C^3+B)|^2/(T+\bar T)^3$. Zero-energy minima occur at $C=0$ and, for $B\ne0$, three phase-related nonzero solutions with $|B|=|C|(3+|C|^2)$. Their $T$ <supergravity auxiliary field> is nonzero if $B\ne0$, while both real components of $T$ are flat on each vacuum branch. For $B=0$, the $C=0$ branch is instead supersymmetric and has zero <gravitino mass from a superpotential>.
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