Spontaneous supersymmetry breaking in two dimensional lattice super QCD

Understand

We report on a non-perturbative study of two dimensional $\cN=(2,2)$ super QCD.

• Our lattice formulation retains a single exact supersymmetry at non-zero lattice spacing, and contains $N_f$ fermions in the fundamental representation of a $U(N_c)$ gauge group.
• The lattice action we employ contains an additional Fayet-Iliopoulos term which is also invariant under the exact lattice supersymmetry.
• This work constitutes the first numerical study of this theory which serves as a toy model for understanding some of the issues that are expected to arise in four dimensional super QCD.