A comment on the self-tuning of cosmological constant with deficit angle on a sphere

TL;DR

This paper discusses the challenges of self-tuning the cosmological constant in a 6D brane world model with fluxes, considering flux quantization and orbifolding effects.

Contribution

It provides a critical analysis of the fine-tuning problem in self-tuning mechanisms within a specific 6D flux compactification model.

Findings

Flux quantization imposes constraints on self-tuning.

Orbifolding modifies the flux and geometric conditions.

Fine-tuning issues persist despite these modifications.

Abstract

In the 6D brane world model with a 4-form flux on a sphere $S^2$ for self-tuning the cosmological constant, we comment on the fine-tuning problem in view of the quantization of the dual 2-form flux and the orbifolding case $S^2/Z_2$.