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Intersecting stacks of supersymmetric fractional branes on the Z_6'orientifold may be used to construct the supersymmetric Standard Model. If a,bare the stacks that generate the SU(3)_{colour} and SU(2)_L gauge particles,then, in order to obtain {\em just} the chiral spectrum of the (supersymmetric)Standard Model (with non-zero Yukawa couplings to the Higgs mutiplets), it isnecessary that the number of intersections a \cap b of the stacks a and b, andthe number of intersections a \cap b' of a with the orientifold image b' of bsatisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is also necessary that there isno matter in symmetric representations of the gauge group, and not too muchmatter in antisymmetric representations, on either stack. Fractional braneshaving all of these properties may be constructed on the Z_6' orientifold. Weconstruct a (four-stack) model with two further stacks, each with just a singlebrane, which has precisely the matter spectrum of the supersymmetric StandardModel, including a single pair of Higgs doublets. However, the gauge group isSU(3)_{\rm colour} x SU(2)_L x U(1)_Y x U(1)_H. Only the Higgs doublets arecharged with respect to U(1)_H.

Almost the supersymmetric Standard Model from intersecting D6-branes on the Z_6' orientifold