Wilson loop and dS/CFT correspondence

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.

LaTeX, 11 pages, a refernce is added

References in corpus (1)

• Conformal anomaly from dS/CFT correspondence

Cited by in corpus (12)

• Vacuum States and the S-Matrix in dS/CFT
• Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method
• Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity
• Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence
• Thermodynamics of d-dimensional charged rotating black brane and AdS/CFT correspondence
• Rotating Topological Black Branes in Various Dimensions and AdS/CFT Correspondence
• Strings and the Holographic Description of Asymptotically de Sitter Spaces
• dS/CFT Correspondence in Two Dimensions
• Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity
• Asymptotically AdS Magnetic Branes in (n+1)-dimensional Dilaton Gravity
• Remark About dS/CFT Correspondence
• Virasoro generators and the dS_3/CFT_2 correspondence