Open String Probe in Soft Hair BTZ

TL;DR

This paper investigates how supertranslation soft hair affects boundary CFT and holographic probes in BTZ black holes, revealing modifications in meson potential, drag force, and transport properties.

Contribution

It introduces open string probes in soft hair BTZ backgrounds, demonstrating how supertranslation influences entanglement, meson potential, and transport phenomena.

Findings

Holographic entanglement remains unchanged under supertranslation.

Soft hair alters the flat part of the meson potential.

Supertranslation affects transport variables like friction coefficient.

Abstract

We study the boundary CFT under supertranslation in terms of the AdS/CFT correspondence. In particular, we probe the soft hair BTZ background by several open string configurations as follows. The Ryu-Takayanaki formula of holographic entanglement remains intact under supertranslation. The U-shape string probe indicates that the flat part of meson potential is altered by the soft charge. The trailing string solution shows that the hair parameter plays the role of external field in the drag force. The study of hanging string in the Brownian motion suggests the transport variables, such as friction coefficient are likely affected by supertranslation.