A Bogomol`nyi equation for intersecting domain walls

Abstract

We argue that the Wess-Zumino model with quartic superpotential admits static solutions in which three domain walls intersect at a junction. We derive an energy bound for such junctions and show that configurations saturating it preserve 1/4 supersymmetry.

4 pages revtex. No figures. Revised version to appear in Physical Review Letters includes discussion of the supersymmetry algebra