Abstract
We report on a non-perturbative study of two dimensional \( \mathcal{N}=\left(2,2\right) \) 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. We present evidence that the exact supersymmetry breaks spontaneously when N f < N c in agreement with theoretical expectations.
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Catterall, S., Veernala, A. Spontaneous supersymmetry breaking in two dimensional lattice super QCD. J. High Energ. Phys. 2015, 13 (2015). https://doi.org/10.1007/JHEP10(2015)013
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DOI: https://doi.org/10.1007/JHEP10(2015)013