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arxiv: hep-th/0512149 · v1 · submitted 2005-12-14 · ✦ hep-th · hep-ph· math.AG

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An SU(5) Heterotic Standard Model

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classification ✦ hep-th hep-phmath.AG
keywords modelheteroticstandardbundlecompactificationgrouphiggsmssm
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We introduce a new heterotic Standard Model which has precisely the spectrum of the Minimal Supersymmetric Standard Model (MSSM), with no exotic matter. The observable sector has gauge group SU(3) x SU(2) x U(1). Our model is obtained from a compactification of heterotic strings on a Calabi-Yau threefold with Z_2 fundamental group, coupled with an invariant SU(5) bundle. Depending on the region of moduli space in which the model lies, we obtain a spectrum consisting of the three generations of the Standard Model, augmented by 0, 1 or 2 Higgs doublet conjugate pairs. In particular, we get the first compactification involving a heterotic string vacuum (i.e. a {\it stable} bundle) yielding precisely the MSSM with a single pair of Higgs.

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