Higgs Doublets, Split Multiplets and Heterotic SU(3)C x SU(2)L x U(1)Y Spectra

Abstract

A methodology for computing the massless spectrum of heterotic vacua with Wilson lines is presented. This is applied to a specific class of vacua with holomorphic SU(5)-bundles over torus-fibered Calabi-Yau threefolds with fundamental group Z2. These vacua lead to low energy theories with the standard model gauge group SU(3)C x SU(2)L x U(1)Yand three families of quark/leptons. The massless spectrum is computed, including the multiplicity of Higgs doublets.

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