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An SU(5) Heterotic Standard Model

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arxiv hep-th/0512149 v1 pith:ASAR4C4U submitted 2005-12-14 hep-th hep-phmath.AG

classification hep-thhep-phmath.AG
keywords modelheteroticstandardbundlecompactificationgrouphiggsmssm
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Vacuum Geometry of the Standard Model

    hep-th 2025-06 conditional novelty 7.0 of 10

    The vacuum moduli space of the MSSM is shown to consist of three rational components of dimensions 1, 15, and 29 via Gröbner basis computations.

  2. What to do with a Ricci-flat Calabi--Yau metric?

    hep-th 2026-05 unverdicted novelty 3.0 of 10

    Numerical Ricci-flat Calabi–Yau metrics turn string compactifications from topological existence statements into computable geometries, unlocking normalized couplings, spectra, and metric-level tests of mirror symmetry.

  3. Lectures on Naturalness, String Landscape and Multiverse

    hep-th 2020-08 unverdicted novelty 1.0 of 10

    Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.

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