Newton potential in deSitter braneworld

TL;DR

This paper calculates the Newton potential on a deSitter brane within 5D AdS or dS bulk spacetimes, revealing differences in potential behavior and implications for dual CFT unitarity.

Contribution

It extends graviton correlator calculations to deSitter branes, analyzing potential corrections and their implications for holographic duality.

Findings

Reproduces Randall-Sundrum result for flat brane in AdS bulk.

Finds negative sign for subleading $1/r^3$ term in dS bulk.

Suggests dual CFT is non-unitary based on potential behavior.

Abstract

Using graviton correlator on deSitter (dS) brane in 5d AdS or dS bulk we calculate the four-dimensional Newton potential. For flat brane in AdS bulk the Randall-Sundrum result is recovered. For flat brane in dS bulk the sign of subleading ($1/r^3$) term in Newton potential is negative if compare with AdS bulk. In accordance with dS/CFT correspondence this indicates that dual CFT should be non-unitary (for example, higher derivative conformal theory).