Deformations of Bundles and the Standard Model
Bjorn Andreas, Gottfried Curio
TL;DR
This paper modifies a heterotic string model to eliminate an extra U(1) gauge factor, using a stable SU(5) bundle deformation on a Calabi-Yau threefold with a free involution, resulting in a realistic standard model-like gauge group.
Contribution
It introduces a novel deformation method of stable bundles on Calabi-Yau threefolds to achieve a realistic gauge group in heterotic string models.
Findings
Successfully removes the extra U(1) factor from the gauge group.
Constructs a stable SU(5) bundle as a deformation of a stable SU(4) bundle plus a trivial line bundle.
Provides a concrete geometric framework for realistic heterotic model building.
Abstract
We modify a recently proposed heterotic model hep-th/0703210, giving three net-generations of standard model fermions, to get rid of an additional U(1) factor in the gauge group. The method employs a stable SU(5) bundle on a Calabi-Yau threefold admitting a free involution. The bundle has to be built as a deformation of the direct sum of a stable SU(4) bundle and the trivial line bundle.
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