Field spectrum and degrees of freedom in AdS/CFT correspondence and Randall Sundrum model

TL;DR

This paper explores how the discretization of bulk field spectra in AdS/CFT and Randall-Sundrum models is essential for holographic mapping, highlighting that such discretization occurs even without a second brane.

Contribution

It demonstrates the necessity of field spectrum discretization in AdS/CFT correspondence and shows this phenomenon occurs in Randall-Sundrum models without a second brane.

Findings

Bulk field spectrum is discrete in AdS space.

Discretization is essential for holographic mapping.

Discretization occurs even without a second brane in Randall-Sundrum models.

Abstract

Compactified AdS space can not be mapped into just one Poincare coordinate chart. This implies that the bulk field spectrum is discrete despite the infinite range of the coordinates. We discuss here why this discretization of the field spectrum seems to be a necessary ingredient for the holographic mapping. For the Randall Sundrum model we show that this discretization appears even without the second brane.