Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-22
Nucl.Phys.B755:79-111,2006; Nucl.Phys.B783:176-178,2007
Physics
High Energy Physics
High Energy Physics - Theory
27 pages. Typos removed. Error regarding theta^2 and theta^3 twisted sector cycles corrected. v4 Further corrections and refer
Scientific paper
10.1016/j.nuclphysb.2006.07.025
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.
Bailin David
Love Alex
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