We explore the physics of supersymmetric Janus gauge theories in four dimensions with spatial dependent coupling constants $e^2$ and $\theta$. For the 8 supersymmetric case, we study the vacuum and Bogomol’nyi-Prasad-Sommerfield spectrum, and the physics of a sharp interface where the couple constants jump. We also find less supersymmetric cases either due to additional expressions in the Lagrangian or to the fact that coupling constants depend on additional spatial coordinates.

• Received 17 March 2009

DOI:https://doi.org/10.1103/PhysRevD.79.126013