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arXiv · hep-th/0008008

Standard-Model Bundles on Non-Simply Connected Calabi--Yau Threefolds

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

We give a proof of the existence of $G=SU(5)$, stable holomorphic vector bundles on elliptically fibered Calabi--Yau threefolds with fundamental group $\bbz_2$. The bundles we construct have Euler characteristic 3 and an anomaly that can be absorbed by M-theory five-branes. Such bundles provide the basis for constructing the standard model in heterotic M-theory. They are also applicable to vacua of the weakly coupled heterotic string. We explicitly present a class of three family models with gauge group $SU(3)_C\times SU(2)_L\times U(1)_Y$.

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Ron Donagi, Burt Ovrut, Tony Pantev, Dan Waldram. 2002-07-03. Standard-Model Bundles on Non-Simply Connected Calabi--Yau Threefolds. https://doi.org/10.1088/1126-6708%2F2001%2F08%2F053

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