Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds

• DOI: 10.1016/j.nuclphysb.2006.06.005
• Publication Date: 2006-07-04T20:27:15Z
• Authors: Ralph Blumenhagen; Sebastian Moster; Timo Weigand
• Keywords: Calabi–Yau manifold; Gauge group; F-theory

46 pages, 2 figures, 6 tables; v2: references added, typos corrected; v3: typos corrected, final version published in Nucl.Phys. B<br/>We consider four-dimensional supersymmetric compactifications of the E8 x E8 heterotic string on Calabi-Yau manifolds endowed with vector bundles with structure group SU(N) x U(1) and five-branes. After evaluating the Green-Schwarz mechanism and deriving the generalized Donaldson-Uhlenbeck-Yau condition including the five-brane moduli, we show that this construction can give rise to GUT models containing U(1) factors like flipped SU(5) or directly the Standard Model even on simply connected Calabi-Yau manifolds. Concrete realizations of three-generation models on elliptically fibered Calabi-Yau manifolds are presented. They exhibit the most attractive features of flipped SU(5) models such as doublet-triplet splitting and proton stability. In contrast to conventional GUT string models, the tree level relations among the Standard Model gauge couplings at the GUT scale are changed.<br/>