New inequality for Wilson loops from AdS/CFT

TL;DR

This paper proposes a new inequality for Wilson loops in the context of AdS/CFT, extending the concept of strong subadditivity from entanglement entropy to Wilson loops, supported by multiple evidences.

Contribution

It introduces a novel inequality for Wilson loops derived from holographic principles, expanding the understanding of gauge/gravity duality.

Findings

Wilson loops satisfy a similar inequality to strong subadditivity

Multiple evidences support the proposed Wilson loop inequality

Extends holographic inequalities from entanglement entropy to Wilson loops

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.