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

TL;DR

This paper provides analytical solutions for a supersymmetric Chern-Simons model with matter, revealing a spinor-driven exponential expansion resembling dark energy, with implications for gravitating spinor configurations and torsion.

Contribution

It introduces explicit analytical solutions for homogeneous, isotropic configurations in a supersymmetric Chern-Simons model with matter, highlighting spinor behavior and torsion effects.

Findings

Spinor drives exponential expansion similar to dark energy

Solutions correspond to gravitating spinor configurations with torsion

Model exhibits anisotropic fluid behavior

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.