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Standard-model bundles

Ron Donagi·Burt Ovrut·Tony Pantev·Dan Waldram
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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.

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Ron Donagi, Burt Ovrut, Tony Pantev, Dan Waldram. 2002-07-03. Standard-model bundles. https://arxiv.org/abs/math/0008010

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