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Model building with rigid D6-branes on the Type IIA orientifold on T6/Z2xZ6'with discrete torsion is considered. The systematic search for models ofparticle physics is significantly reduced by proving new symmetries amongdifferent lattice orientations. Suitable rigid D6-branes without matter inadjoint and symmetric representations are classified, and SO(2N) and USp(2N)gauge factors on orientifold invariant D6-branes are distinguished in terms oftheir discrete Wilson line and displacement parameters. Constraints on thenon-existence of exotic matter prohibit global completions of local MSSM andleft-right symmetric models, while globally defined supersymmetric Pati-Salammodels are found. For the latter, only one particle generation possessesperturbative Yukawa couplings. Masses for the mild amount of exotic matter andthe role of Abelian symmetries are briefly discussed. Last but not least, it isshown that for all three two-torus volumes of about the same order ofmagnitude, gauge coupling unification at one-loop can be achieved, while forhighly unisotropic choices a low string scale in the TeV range is compatiblewith the observed strengths of gauge and gravitational couplings.

The Importance of Being Rigid: D6-Brane Model Building on T6/Z2xZ6' with Discrete Torsion