Spinor Interaction with Gravitational Field in Sigma Model

Abstract

A unify of all interaction in Faddeev-Skyrme model could be based on a higher - dimensional theory including only spinor fields.16-spinor realization in the chiral Sigma model to describe leptons and baryons as topological charge. At large distances Schwarzschild solutions are applied in our case.  At small distances the close-string appear in strong gravity. The model is based on the special 8-spinor identity introduced by Brioschi.