Super-Group Field Cosmology

TL;DR

This paper develops a supersymmetric group field cosmology model incorporating topology-changing interactions, gauge symmetry, and multiverse concepts, extending quantum gravity frameworks with novel supersymmetry at the third quantization level.

Contribution

It introduces the first supersymmetric multiverse model at the third quantized level, integrating gauge symmetry and topology-changing processes in group field cosmology.

Findings

Classical equations reproduce the Hamiltonian constraint of loop quantum gravity.

Topology-changing processes modeled via universe joining and splitting.

Supersymmetry and gauge symmetry incorporated at third quantization level.

Abstract

In this paper we construct a model for group field cosmology. The classical equations of motion for the non-interactive part of this model generate the Hamiltonian constraint of loop quantum gravity for a homogeneous isotropic universe filled with a scalar matter field. The interactions represent topology changing processes that occurs due to joining and splitting of universes. These universes in the multiverse are assumed to obey both bosonic and fermionic statistics, and so a supersymmetric multiverse is constructed using superspace formalism. We also introduce gauge symmetry in this model. The supersymmetry and gauge symmetry are introduced at the level of third quantized fields, and not the second quantized ones. This is the first time that supersymmetry has been discussed at the level of third quantized fields.