Brane-World and Holography

TL;DR

This paper explores the brane-world scenario through holography, analyzing the effects of bulk scalar fields and their coupling to matter, and relating holographic CFT properties to bulk Weyl tensor components and cosmological equations.

Contribution

It introduces a bulk scalar field into the holographic brane-world model and derives constraints on its coupling to matter, linking holographic CFT energy-momentum tensor properties to bulk geometry.

Findings

The traceless part of the holographic CFT's energy-momentum tensor relates to the bulk Weyl tensor.

The trace anomaly corresponds to the $ ho^2$ term in the generalized Friedmann equation.

Constraints on scalar field coupling to matter are established.

Abstract

We consider the brane-world in the holographic point of view. Bearing the realistic models in mind, the bulk massless scalar field is introduced. First of all, we find the constraint on the coupling of the scalar fields with the matter(not holographic CFT) on the brane. We show that the traceless part of the energy-momentum tensor of holographic CFT is a part of the bulk Weyl tensor. The trace part which comes from the trace-anomaly is corresponding to the $\rho^2$-term appeared in the generalized FRW equation in the brane-world.