Supersymmetric Majorana Quantum Cosmologies

TL;DR

This paper develops a supersymmetric quantum cosmology model for a Friedmann--Robertson--Walker universe with quintessence, unifying spacetime curvature and scalar field dynamics, and presents an exact solution for the flat case.

Contribution

It introduces a supersymmetric Majorana quantum cosmology framework using a spinor approach and provides an exact solution for the flat universe case.

Findings

Supersymmetric quantum cosmology model unifies curvature and quintessence.

Exact solution found for the flat universe case.

Model interpretable as interacting universes.

Abstract

The Einstein equations for an isotropic and homogeneous Friedmann--Robertson--Walker Universe in the presence of a quintessence scalar field are shown to be described in a unified way, formally identical to the dynamics of a relativistic particle moving on a two--dimensional spacetime. The correct Lagrangian for the system is presented and used to construct a spinor quantum cosmology theory using Breit's prescription. The theory is supersymmetric when written in Majorana representation. The spinor components interact through a potential that unifies spacetime curvature and quintessence. An exact supersymmetric solution for $k=0$ case is exhibited. This quantum cosmology model may be interpreted as a theory of interacting universes.