Anomaly-free nonsupersymmetric largeNgauge theories from orientifolds

We construct anomaly-free nonsupersymmetric large N gauge theories from orientifolds of type IIB on ${\mathbf{C}}^3/\Gamma$ orbifolds. In particular, massless as well as tachyonic one-loop tadpoles are canceled in these models. This is achieved by starting with $\mathcal{N}=1,2\mathrm{}$ supersymmetric orientifolds with a well defined world-sheet description and including discrete torsion (which breaks supersymmetry) in the orbifold action. In this way we obtain nontrivial nonchiral as well as anomaly-free chiral large N gauge theories. We point out certain subtleties arising in the chiral cases. Subject to certain assumptions, these theories are shown to have the property that computation of any M-point correlation function in these theories reduces to the corresponding computation in the parent $\mathcal{N}=4\mathrm{}$ oriented theory. This generalizes the analogous results recently obtained in supersymmetric large N gauge theories from orientifolds, as well as in (non)supersymmetric large N gauge theories without orientifold planes.