Extension Bundles and the Standard Model
arXiv:hep-th/0703210 · doi:10.1088/1126-6708/2007/07/053
Abstract
We construct a new class of stable vector bundles suitable for heterotic string compactifications. Using these we describe a novel way to derive the fermionic matter content of the Standard Model from the heterotic string. For this we compactify on an elliptically fibered Calabi-Yau threefold X with two sections, the B-fibration, a variant of the ordinary Weierstrass fibration, which allows X to carry a free involution. We construct rank five vector bundles, invariant under this involution, such that turning on a Wilson line we obtain the Standard Model gauge group and find various three generation models. This rank five bundle is derived from a stable rank four bundle that arises as an extension of bundles pulled-back from the base and twisted by suitable line bundles. We also give an account of various previous results and put the present construction into perspective.
31 pages, harvmac, references added
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Cited by in corpus (6)
- GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
- Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds
- NS5-Branes and Line Bundles in Heterotic/F-Theory Duality
- Moduli restriction and Chiral Matter in Heterotic String Compactifications
- SU(5) Heterotic Standard Model Bundles
- Higgs Multiplets in Heterotic GUT Models