SO(32) heterotic line bundle models

Abstract

We search for the three-generation standard-like and/or Pati-Salam models from the $SO(32)$ heterotic string theory on smooth, quotient complete intersection Calabi-Yau threefolds with multiple line bundles, each with structure group $U(1)$. These models are S- and T-dual to intersecting D-brane models in type IIA string theory. We find that the stable line bundles and Wilson lines lead to the standard model gauge group with an extra $U(1{)}_{B-L}$ via a Pati-Salam-like symmetry and the obtained spectrum consists of three chiral generations of quarks and leptons, and vector-like particles. Green-Schwarz anomalous U(1) symmetries control not only the Yukawa couplings of the quarks and leptons but also the higher-dimensional operators causing the proton decay.

24 pages, v2: published version

References in corpus (3)

• The B-L/Electroweak Hierarchy in Heterotic String and M-Theory
• Holomorphic Yukawa Couplings for Complete Intersection Calabi-Yau Manifolds
• From Type II string theory towards BSM/dark sector physics

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• Wavefunctions and Yukawa Couplings on Resolutions of $T^2/{\mathbb{Z}}_N$ Orbifolds
• Coupling Selection Rules in Heterotic Calabi-Yau Compactifications
• Generalized Vanishing Theorems for Yukawa Couplings in Heterotic Compactifications
• Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
• $SO(32)$ heterotic standard model vacua in general Calabi-Yau compactifications
• Upper bound on the Atiyah-Singer index from tadpole cancellation