Another Alternative to Compactification: Noncommutative Geometry and Randall-Sundrum Models

TL;DR

This paper explores how noncommutative geometry-inspired Yang-Mills plus gravity theories can replicate key features of Randall-Sundrum models, offering an alternative approach to addressing the hierarchy problem.

Contribution

It demonstrates that the main feature of Randall-Sundrum models appears naturally in noncommutative geometry-inspired theories, revealing a novel connection between these frameworks.

Findings

Identifies the same Higgs potential expression in both models

Shows the main feature of Randall-Sundrum models is present in noncommutative geometry theories

Suggests possible relationships between different theoretical approaches

Abstract

We observe that the main feature of the Randall-Sundrum model, used to solve the hierarchy problem, is already present in a class of Yang-Mills plus gravity theories inspired by noncommutative geometry. Strikingly the same expression for the Higgs potential is found in two models which have no apparent connection. Some speculations concerning the possible relationships are given.