Supergravity F-term potential (source code)

= Supergravity F-term potential

In Planck units, chiral multiplets in four-dimensional $\mathcal N=1$ supergravity have
$$
V_F=e^K\left(K^{i\bar j}D_iW\,D_{\bar j}\overline W-3|W|^2\right),
\qquad
D_iW=\partial_iW+(\partial_iK)W.
$$