Covariantly constant solutions of the 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.

16 pages

References in corpus (5)

• Classification of Lie algebras of specific type in complexified Clifford algebras
• On some Lie groups containing spin group in Clifford algebra
• Constant solutions of Yang-Mills equations and generalized Proca equations
• Method of averaging in Clifford algebras
• Symmetry and Exact Solutions of the Maxwell and SU(2) Yang-Mills Equations

Cited by in corpus (3)

• On constant solutions of $\mathrm{SU}(2)$ Yang-Mills equations with arbitrary current in Euclidean space ${\mathbb{R}}^n$
• Self-adjoint Elements in the Pseudo-unitary Group $\mathbf{U}\left(p,p\right)$
• Classification of all constant solutions of $\mathrm{SU}(2)$ Yang-Mills equations with arbitrary current in pseudo-Euclidean space ${\mathbb{R}}^{p,q}$