  Supersymmetry is one of the possible scenarios for physics beyond the
standard model. The building blocks of this scenario are supersymmetric gauge
theories. In our work we study the $\mathcal{N}=1$ Super-Yang-Mills (SYM)
theory with gauge group SU(2) dimensionally reduced to two-dimensional
$\mathcal{N}=2$ SYM theory. In our lattice formulation we break supersymmetry
and chiral symmetry explicitly while preserving R symmetry. By fine tuning the
bar-mass of the fermions in the Lagrangian we construct a supersymmetric
continuum theory. To this aim we carefully investigate mass spectra and Ward
identities, which both show a clear signal of supersymmetry restoration in the
continuum limit.
