8-Spinors and structure of solitons in generalized Mie electrodynamics

摘要

A generalization of Mie electrodynamics is considered. It includes a 8-spinor field and higher powers of the Mie invariant A_μA~μ. Particular topological properties of 8-spinors are indicated and are associated with the existence of the remarkable Brioschi identity of eight squares, which permits deriving a natural 8-spinor unification of the Skyrme model of baryons and the Faddeev model of leptons, these particles being treated as topological solitons. Two types of soliton configurations admitted by the model are constructed. These are charged static and neutral lightlike (luxons) ones.