Stability of the Minimal Heterotic Standard Model Bundle
Volker Braun, Yang-Hui He, Burt A. Ovrut
TL;DR
This paper proves that a specific SU(4) vector bundle in the minimal heterotic standard model is slope-stable, ensuring the model's mathematical consistency and physical viability.
Contribution
It provides a rigorous proof of the slope-stability of the vector bundle responsible for the MSSM spectrum in the heterotic string framework.
Findings
The SU(4) bundle is slope-stable.
Stability ensures the physical consistency of the model.
Supports the viability of the minimal heterotic standard model.
Abstract
The observable sector of the "minimal heterotic standard model" has precisely the matter spectrum of the MSSM: three families of quarks and leptons, each with a right-handed neutrino, and one Higgs-Higgs conjugate pair. In this paper, it is explicitly proven that the SU(4) holomorphic vector bundle leading to the MSSM spectrum in the observable sector is slope-stable.
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