Abstract
Four dimensional heterotic SO(32) orbifold models are classified systematically with model building applications in mind. We obtain all 3, 7 and 2N models based on vectorial gauge shifts. The resulting gauge groups are reminiscent of those of type-I model building, as they always take the form SO(2n0) × U(n1) × ... × U(nN−1) × SO(2nN). The complete twisted spectrum is determined simultaneously for all orbifold models in a parametric way depending on n0,...,nN, rather than on a model by model basis. This reveals interesting patterns in the twisted states: They are always built out of vectors and anti-symmetric tensors of the U(n) groups, and either vectors or spinors of the SO(2n) groups. Our results may shed additional light on the S-duality between heterotic and type-I strings in four dimensions. As a spin-off we obtain an SO(10) GUT model with four generations from the 4 orbifold.
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