Conformal Transformations and Strings for an Accelerating Quark-Antiquark Pair in AdS3

TL;DR

This paper constructs an accelerating quark-antiquark pair solution in AdS3 using conformal transformations on a simple moving string, revealing insights into holographic duals of accelerating particles.

Contribution

It introduces a novel method of generating accelerating string solutions in AdS3 via conformal transformations, expanding the understanding of holographic duals of accelerated quark pairs.

Findings

Constructed accelerating string solutions in AdS3.

Identified the event horizon on the string worldsheet.

Glued solutions to model acceleration in opposite directions.

Abstract

From a simple moving open string solution dual to a moving heavy quark with constant velocity in the Poincare AdS_3 spacetime, we construct an accerlerating open string solution dual to a heavy quark-antiquark pair accelerated in opposite directions by performing the three mappings such as the SL(2,R)_L x SL(2,R)_R isometry transformation, the special conformal transformation and the conformal SO(2,2) transformation. Using the string sigma model action we construct two open string solutions staying in two different regions whose dividing line is associated with the event horizon appeared on the string worldsheet and obtain the accelerating open string solution by gluing two such solutions.