The Behavior of Strings on AdS Wormholes

TL;DR

This paper studies how open strings behave on AdS wormholes in Gauss-Bonnet gravity, revealing different interaction regimes between charges in dual field theories, including Coulomb and confining potentials, and analyzing energy transfer at high speeds.

Contribution

It demonstrates the duality between string configurations on AdS wormholes and charge interactions in coupled field theories, highlighting a transition from Coulomb to confining behavior.

Findings

Strings on the same side show Coulomb interaction for small separation.

Strings through the wormhole exhibit a confining potential.

High-speed charges experience a separation gap and energy transfer.

Abstract

We consider the behavior of open strings on AdS wormholes in Gauss-Bonnet theory, which are the Gauss-Bonnet gravity duals of a pair of field theories. A string with both endpoints on the same side of the wormhole describes two charges within the same field theory, which exhibit Coulomb interaction for small separation. On the other hand, a string extending through the wormhole describes two charges which live in different field theories, and they exhibit a spring-like confining potential. A transition occurs when there is a pair of charges present within each field theory: for small separation each pair of charges exhibits Coulomb interaction, while for large separation the charges in the different field theories pair up and exhibit confinement. If two charges move faster than a critical speed, then they exhibit a separation gap and energy is transferred from the leading charge to the lagging one.