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

TL;DR

This paper conducts comprehensive computer-aided searches for (MS)SM-like models on smooth Calabi-Yau manifolds across all three heterotic string theories, analyzing their potential for realistic particle physics models.

Contribution

It systematically compares all three heterotic string theories on various Calabi-Yau geometries using Gram matrices and scans for phenomenologically promising models.

Findings

Generated over a million models across three heterotic theories.

Identified numerous GUT-like models that become (MS)SM-like with Wilson lines.

Provided detailed summaries of potentially interesting models.

Abstract

We perform model searches on smooth Calabi-Yau compactifications for both the supersymmetric E8xE8 and SO(32) as well as for the non-supersymmetric SO(16)xSO(16) heterotic strings simultaneously. We consider line bundle backgrounds on both favorable CICYs with relatively small h_11 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 Kahler 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.