Supergravity auxiliary field (source code)

= Supergravity auxiliary field
{title2=$F^i=-e^{K/2}K^{i\bar j}\overline{D_jW}$}

After eliminating the chiral <auxiliary fields> in Planck-unit <supergravity>, one convention gives $F^i=-e^{K/2}K^{i\bar j}\overline{D_jW}$. The upper-index inverse satisfies $K_{i\bar j}K^{k\bar j}=\delta_i^k$. Nonzero auxiliary expectation values diagnose <supersymmetry breaking>; their common phase convention does not affect the vanishing condition.