Formation of conserved charge at the de Sitter space

TL;DR

This paper proposes a new mechanism for charge accumulation in the early Universe due to metric relaxation in extra dimensions, potentially explaining baryon or lepton number production.

Contribution

It introduces a novel mechanism linking extra space metric relaxation to conserved charge formation, demonstrated with a simple two-dimensional model.

Findings

Charge accumulation occurs during extra space formation.

The mechanism can explain baryon or lepton number generation.

Demonstrated with a U(1)-symmetrical two-dimensional model.

Abstract

The article considers a new mechanism of charge accumulation in the early Universe in theories with compact extra dimensions. The relaxation processes in the extra space metric that take place during its formation lead to the establishment of symmetrical extra space configuration. As a result, the initial accumulation of the number associated with the symmetry occurs. We demonstrate this mechanism using a simple example of a two-dimensional apple-like extra space metric with $U(1)$-symmetry. The conceptual idea of the mechanism can be used to develop a model for the production of the baryon or lepton number in the early Universe.