A proof of Generalized Connected Wedge Theorem

Abstract

In the context of asymptotic $2$-to-$2$ scattering process in AdS/CFT, the Connected Wedge Theorem identifies the existence of $O(1/G_N)$ mutual information between suitable boundary subregions, referred to as decision regions, as a necessary but not sufficient condition for bulk-only scattering processes, i.e., nonempty bulk scattering region $S_0$. Recently, Liu and Leutheusser proposed an enlarged bulk scattering region $S_E$ and conjectured that the non-emptiness of $S_E$ fully characterizes the existence of $O(1/G_N)$ mutual information between decision regions. Here, we provide a geometrical or general relativity proof for a slightly modified version of their conjecture.

References in corpus (6)

• Holography from Conformal Field Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• Causality & holographic entanglement entropy
• Local bulk S-matrix elements and CFT singularities
• Holographic scattering requires a connected entanglement wedge
• The connected wedge theorem and its consequences