The Spectra of Heterotic Standard Model Vacua

Details The Spectra of Heterotic Standard Model Vacua The Spectra of Heterotic Standard Model Vacua

2004-11-17

arxiv.org/abs/hep-th/0411156v1

JHEP0506:070,2005

Physics

High Energy Physics

High Energy Physics - Theory

41+1pp, 2 figs

Scientific paper

10.1088/1126-6708/2005/06/070

A formalism for determining the massless spectrum of a class of realistic heterotic string vacua is presented. These vacua, which consist of SU(5) holomorphic bundles on torus-fibered Calabi-Yau threefolds with fundamental group Z_2, lead to low energy theories with standard model gauge group (SU(3)_C x SU(2)_L x U(1)_Y)/Z_6 and three families of quarks and leptons. A methodology for determining the sheaf cohomology of these bundles and the representation of Z_2 on each cohomology group is given. Combining these results with the action of a Z_2 Wilson line, we compute, tabulate and discuss the massless spectrum.

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