A Compact Codimension Two Braneworld with Precisely One Brane

TL;DR

This paper introduces a new compact codimension two braneworld model with a single brane on a stabilized 2-torus, avoiding fine-tuning and potentially overcoming stability issues of previous models.

Contribution

It constructs a novel single-brane codimension two model with a stabilized torus topology, differing from previous football-shaped models by eliminating fine-tuning requirements.

Findings

The model features a stabilized 2-torus with a single brane.

No fine-tuning needed for brane tension in this setup.

Plausibility arguments suggest the model is stable.

Abstract

Building on earlier work on football shaped extra dimensions, we construct a compact codimension two braneworld with precisely one brane. The two extra dimensions topologically represent a 2-torus which is stabilized by a bulk cosmological constant and magnetic flux. The torus has positive constant curvature almost everywhere, except for a single conical singularity at the location of the brane. In contradistinction to the football shaped case, there is no fine-tuning required for the brane tension. We also present some plausibility arguments why the model should not suffer from serious stability issues.