The supersymmetric standard model from the Z_6' orientifold?

TL;DR

This paper constructs N=1 supersymmetric fractional branes on the Z_6' orientifold to realize the supersymmetric standard model, ensuring the correct chiral spectrum and Yukawa couplings through specific intersection properties.

Contribution

It provides explicit examples of intersecting brane configurations on the Z_6' orientifold that produce the supersymmetric standard model spectrum with desired properties.

Findings

Identified intersection conditions for branes to yield the standard model spectrum.

Constructed explicit brane configurations satisfying these intersection conditions.

Ensured absence of matter in symmetric representations.

Abstract

We construct N=1 supersymmetric fractional branes on the Z_6' orientifold. Intersecting stacks of such branes are needed to build a supersymmetric standard model. If $a,b$ are the stacks that generate the SU(3)_c and SU(2)_L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) standard model (with non-zero Yukawa couplings to the Higgs mutiplets), it is necessary that the number of intersections a \cap b of the stacks a and b, and the number of intersections a \cap b' of a with the orientifold image b' of b satisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is also necessary that there is no matter in symmetric representations of either gauge group. We have found a number of examples having these properties.