  Supersymmetry and Lorentz invariance are closely related as both are
spacetime symmetries. Terms can be added to Lagrangians that explicitly break
either supersymmetry or Lorentz invariance. It is possible to include terms
which violate Lorentz invariance but maintain invariance under supersymmetric
transformations. I illustrate this with some simple extensions of the original
Wess-Zumino model.
