Higgs Doublets, Split Multiplets and Heterotic SU(3)_C x SU(2)_L x U(1)_Y Spectra

TL;DR

This paper presents a method to compute the massless spectrum of heterotic string vacua with Wilson lines, applied to specific Calabi-Yau compactifications, resulting in models with the Standard Model gauge group and three families.

Contribution

It introduces a new methodology for calculating the massless spectrum in heterotic vacua with Wilson lines, focusing on a class of models with SU(5)-bundles over Calabi-Yau threefolds.

Findings

Derived the massless spectrum including Higgs doublets multiplicity.

Constructed heterotic vacua with Standard Model gauge group and three families.

Provided explicit spectrum calculations for specific Calabi-Yau compactifications.

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 Z_2. 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.