Holography in 7D Randall-Sundrum cosmology

TL;DR

This paper explores a 7D Randall-Sundrum cosmological model, establishing a dual 6D theory via AdS/CFT correspondence, and demonstrates the consistency of derived Friedmann equations with brane-world perspectives.

Contribution

It introduces a 7D RS background and constructs its dual 6D theory, providing new insights into higher-dimensional cosmology and holographic dualities.

Findings

Friedmann equations from 7D RS cosmology match brane-world results

Defined a 7D Randall-Sundrum background and its 6D dual

Outlined possible cosmological scenarios in the bulk

Abstract

We define the 7D Randall-Sundrum (RS) background and construct the corresponding 6D theory via AdS/CFT duality. In simple approximations, the Friedmann equation derived from 7D RS cosmology and the brane view-point results exactly match. Possible cosmologies on the bulk side are also outlined.