An SU(5) Heterotic Standard Model

TL;DR

This paper presents a heterotic string compactification that precisely reproduces the MSSM spectrum with no exotic matter, including a single Higgs pair, advancing string phenomenology models.

Contribution

It introduces a new heterotic Standard Model derived from a Calabi-Yau compactification with an SU(5) bundle, achieving the exact MSSM spectrum with minimal Higgs content.

Findings

Achieves MSSM spectrum with no exotic matter

Includes models with one or two Higgs doublet pairs

First heterotic vacuum with exactly the MSSM and a single Higgs pair

Abstract

We introduce a new heterotic Standard Model which has precisely the spectrum of the Minimal Supersymmetric Standard Model (MSSM), with no exotic matter. The observable sector has gauge group SU(3) x SU(2) x U(1). Our model is obtained from a compactification of heterotic strings on a Calabi-Yau threefold with Z_2 fundamental group, coupled with an invariant SU(5) bundle. Depending on the region of moduli space in which the model lies, we obtain a spectrum consisting of the three generations of the Standard Model, augmented by 0, 1 or 2 Higgs doublet conjugate pairs. In particular, we get the first compactification involving a heterotic string vacuum (i.e. a {\it stable} bundle) yielding precisely the MSSM with a single pair of Higgs.