Abstract
Abstract We study the relation between a heterotic ${T^6 \left/ {{{{\mathbb{Z}}_6}}} \right.}$ 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 ${{\mathbb{Z}}_2}$ quotient of ${T^4 \left/ {{{{\mathbb{Z}}_3}}} \right.}\times {T^2}$ . We consider a two-step resolution, whose intermediate step is $\left( {K3\times {T^2}} \right){{\mathbb{Z}}_2}$ . This allows us to identify the massless twisted states which correspond to the geometric Kähler 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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