Warped Flux Compactification and Brane Gravity

TL;DR

This paper presents an exact 6D braneworld solution modeling warped flux compactification, analyzing how brane tension affects the Hubble rate and deriving an effective Newton's constant consistent with dimensional reduction, with implications for string cosmology.

Contribution

It introduces a simple exact 6D solution capturing key features of warped flux compactification and proposes a general formula for effective Newton's constant applicable to string cosmology.

Findings

Effective Newton's constant matches dimensional reduction estimates.

Hubble rate varies with brane tension in the model.

Application to type IIB string compactification discussed.

Abstract

We find a simple exact solution of 6-dimensional braneworld which captures some essential features of warped flux compactification, including a warped geometry, compactification, a magnetic flux, and one or two 3-brane(s). In this setup we analyze how the Hubble expansion rate on each brane changes when the brane tension changes. It is shown that effective Newton's constant resulting from this analysis agrees with that inferred by simply integrating extra dimensions out. Based on the result, a general formula for effective Newton's constant is conjectured and its application to cosmology with type IIB warped string compactification is discussed.