Spinor solutions of a Chern–Simons model for the superconformal algebra

Abstract

We present analytical solutions for homogenous and isotropic spaces of the supersymmetric Chern–Simons model with matter in the adjoint representation. The configurations that we found correspond to a gravitating spinor content and torsion is also present. The spinor behaves like dark energy in the sense that drives an exponential expansion. The solution found can be seen as an anisotropic fluid.