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Massless spectra of three generation U(N) heterotic string vacua

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We provide the methods to compute the complete massless spectra of a class of recently introduced supersymmetric E 8 × E 8 heterotic string models which invoke vector bundles with U( N ) structure group on simply connected Calabi-Yau manifolds and which yield flipped SU(5) and MSSM string vacua of p...

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Bibliographic Details
Main Authors: Blumenhagen, Ralph (Author) , Weigand, Timo (Author)
Format: Article (Journal)
Language:English
Published: 15 May 2007
In: Journal of high energy physics
Year: 2007, Issue: 05
ISSN:1029-8479
DOI:10.1088/1126-6708/2007/05/041
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1088/1126-6708/2007/05/041
Verlag, kostenfrei, Volltext: http://stacks.iop.org/1126-6708/2007/i=05/a=041
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Author Notes:Ralph Blumenhagen and Sebastian Moster, Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany; Rene Reinbacher, Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, U.S.A.; Timo Weigand, Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, U.S.A
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Summary:We provide the methods to compute the complete massless spectra of a class of recently introduced supersymmetric E 8 × E 8 heterotic string models which invoke vector bundles with U( N ) structure group on simply connected Calabi-Yau manifolds and which yield flipped SU(5) and MSSM string vacua of potential phenomenological interest. We apply Leray spectral sequences in order to derive the localisation of the cohomology groups H i ( X, V a ⊗ V b ), H i ( X, ##IMG## [http://ej.iop.org/icons/Entities/bigwedge.gif] bigwedge 2 V ) and H i ( X, S 2 V ) for vector bundles defined via Fourier-Mukai transforms on elliptically fibered Calabi-Yau manifolds. By the method of bundle extensions we define a stable U(4) vector bundle leading to the first flipped SU(5) model with just three generations, i.e. without any vector-like matter. Along the way, we propose the notion of λ-stability for heterotic bundles.
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Physical Description:Online Resource
ISSN:1029-8479
DOI:10.1088/1126-6708/2007/05/041

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