Supersymmetry in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>QCD</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> coupled to fermions

We consider $1+1$ dimensional Yang-Mills theory with gauge group $G$ coupled to a massive Majorana fermion field in an adjoint representation and number of massless Dirac or fermions transforming arbitrary representations the $G$. It is shown that spectrum sector this becomes supersymmetric at particular mass fermion. This independent detailed structure model depends only on integer $k$ measuring total anomaly. The be not necessarily supersymmetric.