New inequality for Wilson loops from AdS/CFT

Abstract

The strong subadditivity is the most important inequality which entanglement entropy satisfies. Based on the AdS/CFT conjecture, entanglement entropy in CFT is equal to the area of the minimal surface in AdS space. It is known that a Wilson loop can also be holographically computed from the minimal surface in AdS space. In this paper, we argue that Wilson loops also satisfy a similar inequality, and find several evidences of it.

16 pages (removed unnecessary figures)

References in corpus (5)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Aspects of Holographic Entanglement Entropy
• A holographic proof of the strong subadditivity of entanglement entropy
• Proof of the Holographic Formula for Entanglement Entropy
• AdS/CFT and Strong Subadditivity of Entanglement Entropy

Cited by in corpus (5)

• Holographic Entanglement Entropy: An Overview
• Holographic Entanglement Entropy of Multiple Strips
• Positivity, entanglement entropy, and minimal surfaces
• Correlator of Wilson and t'Hooft Loops at Strong Coupling in $\mathcal{N}=4$ SYM Theory
• Holographic entanglement entropy for hollow cones and banana shaped regions