Standard-model bundles

Abstract

We describe a family of genus one fibered Calabi-Yau threefolds with fundamental group $\mathbb{Z}/2$. On each Calabi-Yau $Z$ in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the Standard Model group $SU(3)\times SU(2)\times U(1)$ and which have $c_3=6$. We also show that for each bundle $V$ in our family, $c_2(Z)-c_2(V)$ is the class of an effective curve on $Z$. These conditions ensure that $Z$ and $V$ can be used for a phenomenologically relevant compactification of Heterotic M-theory.

Reference to the work of C.Schoen added

References in corpus (8)

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• Vector Bundles over Elliptic Fibrations
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• Standard-Model Bundles on Non-Simply Connected Calabi--Yau Threefolds
• Flat directions, String Compactification and 3 Generation Models
• Standard Models from Heterotic M-theory
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• Constraint on Spinor-Vector Dualities in Six Dimensions
• Extending the Geometry of Heterotic Spectral Cover Constructions
• Line bundle embeddings for heterotic theories