String Scattering and Evolution of Ryu-Takayanagi Surface

TL;DR

This paper explores how open string scattering relates to the evolution of the Ryu-Takayanagi surface and entanglement wedge, revealing deep connections between string theory, hyperbolic geometry, and quantum information measures.

Contribution

It demonstrates that open string scattering corresponds to entanglement wedge evolution and links string interactions to entanglement measures like reflected entropy.

Findings

Open string scattering corresponds to entanglement wedge evolution.

Disk-disk scattering relates to reflected entropy.

Connections between mutual information, string worldsheet, and hyperbolic geometry.

Abstract

In this paper, our aim is to illustrate that the process of open string scattering corresponds to the evolution of the entanglement wedge, where the scattering distance is identified as the entanglement wedge cross section. Moreover, open-closed string scattering, specifically the disk-disk interaction, works for the evolution of the reflected entanglement wedge, with the circumference of the waist cross section equating to the reflected entropy. It therefore provides evidence for the deep connections between the string worldsheet and the Ryu-Takayanagi surface. This connection is not only a coincidence rooted in hyperbolic geometry; it also reflects an additional correspondence between two distinct theories: mutual information and the geometric BV master equation.