The Exact MSSM Spectrum from String Theory
Abstract
We show the existence of realistic vacua in string theory whose observable sector has exactly the matter content of the MSSM. This is achieved by compactifying the E8 x E8 heterotic superstring on a smooth Calabi-Yau threefold with an SU(4) gauge instanton and a Z3 x Z3 Wilson line. Specifically, the observable sector is N=1 supersymmetric with gauge group SU(3)C x SU(2)L x U(1)Y x U(1)B-L, three families of quarks and leptons, each family with a right-handed neutrino, and one Higgs-Higgs conjugate pair. Importantly, there are no extra vector-like pairs and no exotic matter in the zero mode spectrum. There are, in addition, 6 geometric moduli and 13 gauge instanton moduli in the observable sector. The holomorphic SU(4) vector bundle of the observable sector is slope-stable.
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