  In this paper we study the dynamical generation of mass in the
Lorentz-violating $CP^{(N-1)}$ model defined in two and three-dimensional
aether-superspace. We show that even though the model presents a phase
structure similar to the usual, Lorentz invariant case, the dynamically
generated mass by quantum corrections has a dependence on the Lorentz violating
background properties, except for spacelike LV vector parameter. This is to be
contrasted with the behavior of the quantum electrodynamics in the
two-dimensional aether-superspace, where the dynamical generation of mass was
shown to exhibit an explicit dependence on the aether parameters in every
possible case.
