(MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories

Abstract

We perform model searches on smooth Calabi-Yau compactifications for both the supersymmetric E8 × E8 and SO(32) as well as for the non-supersymmetric SO(16) × SO(16) heterotic strings simultaneously. We consider line bundle backgrounds on both favorable CICYs with relatively small h11 and the Schoen manifold. Using Gram matrices we systematically analyze the combined consequences of the Bianchi identities and the tree-level Donaldson-Uhlenbeck-Yau equations inside the Kähler cone. In order to evaluate the model building potential of the three heterotic theories on the various geometries, we perform computer-aided scans. We have generated a large number of GUT-like models (up to over a few hundred thousand on the various geometries for the three heterotic theories) which become (MS)SM-like upon using a freely acting Wilson line. For all three heterotic theories we present tables and figures summarizing the potentially phenomenologically interesting models which were obtained during our model scans. The authors perform model searches on smooth Calabi-Yau compactifications for both the supersymmetric E8 × E8 and SO(32) as well as for the non-supersymmetric SO(16) × SO(16) heterotic strings simultaneously. Line bundle backgrounds on both favorable Complete Intersection Calabi-Yaus (CICYs) with relatively small Hodge number h11 and the Schoen manifold are considered. Using Gram matrices the paper systematically analyzes the combined consequences of the Bianchi identities and the tree-level Donaldson-Uhlenbeck-Yau equations inside the Kähler cone. In order to evaluate the model building potential of the three heterotic theories on the various geometries, computer-aided scans are used. A large number of GUT-like models (up to a few hundred thousands on the various geometries for the three heterotic theories) gas been generated becoming (MS)SM-like upon using a freely acting Wilson line. For all three heterotic theories tables and figures are presented summarizing the potentially phenomenologically interesting models which were obtained during the model scans.