  We study the dimensional reduction for a $(3+1)$-dimensional Lorentz
Violating Lagrangian in the matter and gauge sectors in a Supersymmetric
scenario. We thus obtain an effective model for photons induced by the effects
of supersymmetry in our framework with Lorentz-symmetry violating. This model
is discussed in connection with the attainment of a static potential between
charged particles. Our calculation is done within the framework of the
gauge-invariant, but path-dependent variable formalism. We thus find that the
interaction energy displays a screening part, encoded by Bessel functions, and
a linear confining potential.
