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

• Verfasst von: Blumenhagen, Ralph [VerfasserIn]
• Verfasst von: Weigand, Timo [VerfasserIn]
• Titel: Massless spectra of three generation U(N) heterotic string vacua
• Verf.angabe: 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
• Fussnoten: N im Text kursiv geschrieben ; Gesehen am 09.01.2018
• Titel Quelle: Enthalten in: Journal of high energy physics
• Jahr Quelle: 2007
• Band/Heft Quelle: (2007,05) Artikel-Nummer 041, 43 Seiten
• ISSN Quelle: 1029-8479
• DOI: doi:10.1088/1126-6708/2007/05/041
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1566968313

Abstract

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.