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arXiv · 1208.0704

Voisin-Borcea Manifolds and Heterotic Orbifold Models

Wilfried Buchmuller·Jan Louis·Jonas Schmidt·Roberto Valandro
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Abstract

We study the relation between a heterotic T^6/Z6 orbifold model and a compactification on a smooth Voisin-Borcea Calabi-Yau three-fold with non-trivial line bundles. This orbifold can be seen as a Z2 quotient of T^4/Z3 x T^2. We consider a two-step resolution, whose intermediate step is (K3 x T^2)/Z2. This allows us to identify the massless twisted states which correspond to the geometric Kaehler and complex structure moduli. We work out the match of the two models when non-zero expectation values are given to all twisted geometric moduli. We find that even though the orbifold gauge group contains an SO(10) factor, a possible GUT group, the subgroup after higgsing does not even include the standard model gauge group. Moreover, after higgsing, the massless spectrum is non-chiral under the surviving gauge group.

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Wilfried Buchmuller, Jan Louis, Jonas Schmidt, Roberto Valandro. 2012-08-03. Voisin-Borcea Manifolds and Heterotic Orbifold Models. https://doi.org/10.1007/jhep10(2012)114

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