D-branes on fourfolds with discrete torsion Original Research Article

We study D1-branes on the fourfold C4/(Z2×Z2×Z2), in the presence of discrete torsion. Discrete torsion is incorporated in the gauge theory of the D1-branes by considering a projective representation of the finite group Z2×Z2×Z2. The corresponding orbifold is then deformed by perturbing the F-flatness condition of the gauge theory. The moduli space of the resulting gauge theory retains a stable singularity of codimension three.