= F-term hybrid inflation
{c}
{title2=$W=gS(uv-\zeta)$}
The bilinear hybrid <superpotential> couples an inflaton $S$ to two waterfall fields $u,v$. In global <supersymmetry>, $V=|g|^2(|uv-\zeta|^2+|S|^2(|u|^2+|v|^2))$. The branch $u=v=0$ breaks supersymmetry and is transversely stable for $|S|^2>|\zeta|$, while the zero-energy branch $S=0$, $uv=\zeta$ is supersymmetric. A canonical <Kähler potential> in <supergravity> slightly lifts the inflationary valley. It must not be described as two isolated stationary minima of the full potential.
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