Wilson loop and dS/CFT correspondence

TL;DR

This paper computes the Wilson loop in a dS/CFT framework using a brane-world model, revealing a positive, linearly increasing potential at small curvature, suggesting confinement in this setting.

Contribution

It introduces a novel calculation of the Wilson loop in dS/CFT without regularization, highlighting differences from AdS/CFT and implications for confinement.

Findings

Potential is positive and linear at small curvature.

No regularization needed due to finite de Sitter volume.

Indicates possible confinement in dS/CFT context.

Abstract

We calculate Wilson loop (quark anti-quark potential) in dS/CFT correspondence. The brane-world model is considered where bulk is two 5d Euclidean de Sitter spaces and boundary (brane) is 4d de Sitter one. Starting from the Nambu-Goto action, the calculation of the effective tension (average energy) is presented. Unlike to the case of supergravity calculation of Wilson loop in AdS/CFT set-up, there is no need to regularize the Nambu-Goto action (the volume of de Sitter space is finite). It turns out that at sufficiently small curvature of 5d background the energy (potential) is positive and linear on the distance between quark and anti-quark what indicates to the possibility of confinement.