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The Exact MSSM Spectrum from String Theory

Volker Braun·Yang-Hui He·Burt A. Ovrut·Tony Pantev
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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 E_8 x E_8 heterotic superstring on a smooth Calabi-Yau threefold with an SU(4) gauge instanton and a Z_3 x Z_3 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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Volker Braun, Yang-Hui He, Burt A. Ovrut, Tony Pantev. 2006-02-07. The Exact MSSM Spectrum from String Theory. https://doi.org/10.1088/1126-6708%2F2006%2F05%2F043

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