Non trivial spacetime effects in a supersymmetric model

Abstract

We study a $N=1$ supersymmetric model in a $S^1{\times R}^3$ spacetime. We find that by choosing appropriate boundary conditions for the contributing fields supersymmetry can be preserved. However if we add a hard supersymmetry breaking term, we observe that for small values of the length of the $S^1$ dimension, supersymmetry remains unbroken and breaks spontaneously when the length exceeds a critical value. The final picture resembles the first order phase transition picture.

Comments: 12 pages, 3 figures