On a field equation generating a new class of particular solutions to the Yang–Mills equations

In a pseudo-Euclidean space, a field equation (system of equations) is considered that is invariant under orthogonal (from the group $\mathrm O(p,q)$) coordinate transformations and invariant under gauge transformations from the spinor group $\mathrm{Pin}(p,q)$. The solutions to the field equation are connected with a class of new particular solutions to the Yang–Mills equations.

Received in January 2014