Real-slice diagnosis of chiral-scalar vacua
= Real-slice diagnosis of chiral-scalar vacua
A <chiral superfield> has a <complex scalar>. Minimizing its potential only on the real axis can miss <supersymmetric vacua>. For example $W'(\varphi)=1+\varphi^2$ has positive potential $(1+x^2)^2$ for real $x$, yet its complex vacua $\varphi=\pm i$ have zero energy. <Supersymmetry breaking> must therefore be tested in the full complex field space, not inferred from a positive minimum on an arbitrarily chosen real slice.