Novel 3D supersymmetric massive Yang-Mills theory

We construct three-dimensional, N = 1 off-shell supersymmetric massive Yang-Mills (YM) theory whose YM equation is third-way consistent. This means that the field equations of this model do not come from variation of a local action without additional fields, yet the gauge-covariant divergence of the YM equation still vanishes on shell. To achieve this, we modify the massive Majorana spinor equation so that its supersymmetry variation gives a modified YM equation whose bosonic part coincides with the third-way consistent pure massive YM model.

Automated summary

A three-dimensional, N = 1 off-shell supersymmetric massive Yang-Mills theory is constructed, with a YM equation that is third-way consistent, achieved by modifying the massive Majorana spinor equation to give a modified YM equation.