Exact Local Supersymmetry, Absence of Superpartners, and Noncommutative Geometries

TL;DR

This paper proposes a multilayered universe model that maintains exact supersymmetry without superpartners, linking noncommutative geometries to potential solutions for the cosmological constant problem.

Contribution

It introduces a novel multilayered universe framework that preserves supersymmetry and explores its realization via noncommutative geometries, including a concrete 2D model.

Findings

Exact supersymmetry can be maintained with no superpartners in a multilayered universe.

A concrete 2D model demonstrating this scenario is provided.

The approach suggests possible realizations in 3+1 dimensions.

Abstract

It is pointed out that if we allow for the possibility of a multilayered universe, it is possible to maintain exact supersymmetry and arrange, in principle, for the vanishing of the cosmological constant. Superpartner(s) of a known particle will then be associated with the other layers of such a universe. A concrete model realizing this scenario is exhibited in \2 dimensions, and it is suggested that it may be realizable in 3+1 dimensions. The connection between this nonclassical geometry and noncommutative geometries is discussed.