  The two-dimensional aether-superspace is constructed and the superfield
techniques are applied to the study of dynamical generation of mass in the
Lorentz-violating supersymmetric quantum electrodynamics in two dimensions of
spacetime. It is shown that such model presents a dynamical generation of mass
to the gauge aether-superfield and its dispersion relation has the structure
similar of the CPT-even Lorentz-breaking models.
