Magnetized SYM on (T^2)^3/(Z_2 x Z'_2) with 7-branes, fluxes, and Wilson lines produces MSSM chiral fields and semi-realistic hierarchical Yukawas for quarks and leptons.
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Blow-up of magnetized T²/Z_N preserves total magnetic flux, total curvature, and effective flux on connecting lines, while the number of localized modes at each singularity increases by one per mass level increment.
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MSSM flavors from 7-brane configurations of magnetized SYM on $R^{1,3} \times (T^2)^3/(Z_2 \times Z'_2)$
Magnetized SYM on (T^2)^3/(Z_2 x Z'_2) with 7-branes, fluxes, and Wilson lines produces MSSM chiral fields and semi-realistic hierarchical Yukawas for quarks and leptons.
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Massive modes on magnetized blow-up manifold of $T^2/\mathbb{Z}_N$
Blow-up of magnetized T²/Z_N preserves total magnetic flux, total curvature, and effective flux on connecting lines, while the number of localized modes at each singularity increases by one per mass level increment.