Towards the supersymmetric standard model from intersecting D6-branes on the Z_6' orientifold
arXiv:hep-th/0603172 · doi:10.1016/j.nuclphysb.2006.07.025 10.1016/j.nuclphysb.2007.08.005
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 multiplets), it is necessary that the number ofintersections a \circ b of the stacks a and b, and the number of intersections a \circ b' of a with the orientifold image b' of b satisfy (a \circ b,a \circ b')=\pm(2,1) or \pm(1,2). It is also necessary that there is no matter in symmetric representations of the gauge group, and not too much matter in antisymmetric representations, on either stack. We provide a number of examples having these properties. Different lattices give different solutions and different physics.
27 pages. Typos removed. Error regarding theta^2 and theta^3 twisted sector cycles corrected. v4 Further corrections and reference added. New material added on possibility of (a \circ b, a \circ b')=(3,0) and contributions of antisymmetric representations to U(1) charges. To appear in Nucl. Phys. B
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