= Supersymmetric domain wall
{title2=$\phi'=e^{i\alpha}\overline{W'(\phi)},\quad T\geq2|\Delta W|$}
In a canonical <Wess–Zumino model>, complete the static transverse energy into $|\phi'-e^{i\alpha}\overline{W'}|^2+2\operatorname{Re}(e^{-i\alpha}dW/dz)$. Choosing the phase of $\Delta W$ gives the tension bound. A solution of the displayed first-order equation attains it and preserves two of four real <supercharges>. For $W=\mu^2\Phi/g-g\Phi^3/3$, $\phi(z)=(\mu/g)\tanh(\mu z)$ interpolates between the two vacua and has tension $8\mu^3/(3g^2)$.
Back to article page
