Spinor brane

Abstract

The thick brane model supported by a nonlinear spinor field is constructed. The different cases with the various values of the cosmological constant $\Lambda (< = >) 0$ are investigated. It is shown that regular analytical spinor thick brane solutions with asymptotically Minkowski (at $\Lambda=0$) or anti-de Sitter spacetimes (at $\Lambda<0$) do exist.