Anomaly Free Non-Supersymmetric Large $N$ Gauge Theories from Orientifolds

TL;DR

This paper constructs non-supersymmetric, anomaly-free large N gauge theories from orientifolds of Type IIB string theory, ensuring tadpole cancellation and relating correlation functions to supersymmetric parent theories.

Contribution

It introduces a method to generate anomaly-free non-supersymmetric large N gauge theories from supersymmetric orientifolds with discrete torsion, extending previous results to non-supersymmetric cases.

Findings

Successfully cancels massless and tachyonic tadpoles.

Achieves anomaly-free, non-chiral and chiral large N gauge theories.

Reduces M-point functions to those in parent N=4 theories.

Abstract

We construct anomaly free non-supersymmetric large N gauge theories from orientifolds of Type IIB on C^3/G orbifolds. In particular, massless as well as tachyonic one-loop tadpoles are cancelled in these models. This is achieved by starting with ${\cal N}=1,2$ supersymmetric orientifolds with well defined world-sheet description and including discrete torsion (which breaks supersymmetry) in the orbifold action. In this way we obtain non-trivial non-chiral 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 ${\cal N}=4$ 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.