Exploring Positive Monad Bundles And A New Heterotic Standard Model

TL;DR

This paper systematically analyzes positive monad bundles on Calabi-Yau threefolds for heterotic compactifications, finding no standard model-like solutions within this class but constructing a promising non-positive monad model with realistic features.

Contribution

It provides the first comprehensive scan of positive monad bundles on favorable CICYs and introduces a novel heterotic standard model within non-positive monads.

Findings

No positive monad models match the standard model exactly.

A new heterotic standard model with three families and B-L symmetry is constructed.

The entire positive monad class on CICYs is phenomenologically ruled out.

Abstract

A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term monad bundles over favourable complete intersection Calabi-Yau threefolds is performed. We show that the original data set of about 7000 models contains 91 standard-like models which we describe in detail. A closer analysis of Wilson-line breaking for these models reveals that none of them gives rise to precisely the matter field content of the standard model. We conclude that the entire set of positive two-term monads on complete intersection Calabi-Yau manifolds is ruled out on phenomenological grounds. We also take a first step in analyzing the larger class of non-positive monads. In particular, we construct a supersymmetric heterotic standard model within this class. This model has the standard model gauge group and an additional U(1)_{B-L} symmetry, precisely three families of quarks and leptons, one pair of Higgs doublets and no anti-families or exotics of any kind.