Heterotic SO(32) model building in four dimensions

Abstract

Four dimensional heterotic SO(32) orbifold models are classified systematically with model building applications in mind. We obtain all Z3, Z7 and Z2N models based on vectorial gauge shifts. The resulting gauge groups are reminiscent of those of type-I model building, as they always take the form SO(2n_0)xU(n_1)x...xU(n_{N-1})xSO(2n_N). The complete twisted spectrum is determined simultaneously for all orbifold models in a parametric way depending on n_0,...,n_N, rather than on a model by model basis. This reveals interesting patterns in the twisted states: They are always built out of vectors and anti--symmetric tensors of the U(n) groups, and either vectors or spinors of the SO(2n) groups. Our results may shed additional light on the S-duality between heterotic and type-I strings in four dimensions. As a spin-off we obtain an SO(10) GUT model with four generations from the Z4 orbifold.

1+37 pages LaTeX, some typos in table 4 corrected, and we have included some discussion on exceptional shift vectors which ignored in the previous versions

References in corpus (6)

• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Heterotic Brane World
• Gauge Unification in Highly Anisotropic String Compactifications
• Exploring the SO(32) Heterotic String
• CPT and Other Symmetries in String/M Theory
• Lack of trinification in Z_3 orbifolds of the SO(32) heterotic string

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• Toric Resolutions of Heterotic Orbifolds
• Interpolations Among NAHE-based Supersymmetric and Nonsupersymmetric String Vacua
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