= Canonical-Kähler correction to an F-term hybrid valley
{title2=$V(S,0,0)=|g\zeta|^2e^x(1-x+x^2),\quad x=|S|^2/M_p^2$}
The <supergravity F-term potential> on the inflationary branch has the displayed exact form. Its expansion is $|g\zeta|^2(1+x^2/2+O(x^3))$, so the inflaton quadratic mass cancels at tree level for this canonical model. For $x>0$ its derivative is $|g\zeta|^2e^xx(1+x)>0$; the branch is therefore a transverse valley, not a stationary supersymmetry-breaking vacuum.
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