Covariantly constant solutions of the Yang-Mills equations

TL;DR

This paper introduces a new class of covariantly constant solutions to the Yang-Mills equations, expanding the understanding of their solution space by relating them to the spin connection field equations.

Contribution

It presents a novel class of solutions for the Yang-Mills equations linked to the spin connection, which was not previously explored.

Findings

New covariantly constant solutions identified

Solutions relate to the field equations of the spin connection

Expands the solution space of Yang-Mills equations

Abstract

We present a new class of covariantly constant solutions of the Yang-Mills equations. These solutions correspond to the solution of the field equation for the spin connection of the general form.