A Standard Model from the E8 x E8 Heterotic Superstring

Preprint

17 February 2005

preprint
Published by arXiv in arXiv

Abstract

In a previous paper, we introduced a heterotic standard model and discussed its basic properties. This vacuum has the spectrum of the MSSM with one additional pair of Higgs-Higgs conjugate fields and a small number of uncharged moduli. In this paper, the requisite vector bundles are formulated; specifically, stable, holomorphic bundles with structure group SU(N) on smooth Calabi-Yau threefolds with Z_3 x Z_3 fundamental group. A method for computing bundle cohomology is presented and used to evaluate the cohomology groups of the standard model bundles. It is shown how to determine the Z_3 x Z_3 action on these groups. Finally, using an explicit method of "doublet-triplet splitting", the low-energy particle spectrum is computed.

Keywords

FUNDAMENTAL GROUP
BASIC PROPERTIES
STANDARD MODEL
COHOMOLOGY
HETEROTIC
SPECTRUM
Z_3 X
X E8

All Related Versions

Version 1, 2005-02-17, ArXiv
Version 2, 2005-02-20, ArXiv
Version 3, 2005-04-25, ArXiv
Published version: Journal of High Energy Physics, 2005 (06), 039.

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