Massless spectra of three generation U(N) heterotic string vacua
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...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
15 May 2007
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| In: |
Journal of high energy physics
Year: 2007, Heft: 05 |
| ISSN: | 1029-8479 |
| DOI: | 10.1088/1126-6708/2007/05/041 |
| Online-Zugang: | 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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| Verfasserangaben: | 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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| 520 | |a 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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