Nonstatic AdS_2 Branes and the Isometry Group of AdS_3 Spacetime

TL;DR

This paper constructs and analyzes nonstatic AdS_2 D-brane solutions in AdS_3 spacetime, demonstrating their transformation properties under the spacetime's isometry group, and explores their relation to automorphisms in the SL(2,R) WZW model.

Contribution

It introduces a specific outer automorphism-based gluing condition leading to a family of nonstatic AdS_2 branes and studies their symmetry transformations.

Findings

Constructed nonstatic AdS_2 brane solutions in AdS_3.

Demonstrated that these solutions transform under AdS_3 isometries.

Connected brane automorphisms with spacetime symmetries.

Abstract

For the D-branes on the SL(2,R) WZW model we present a particular choice of outer automorphism for the gluing condition of currents that leads to a special AdS_2 brane configuration. This configuration is shown to be a static solution in the cylindrical coordinates, and a nonstatic solution in the Poincar\'e coordinates to the nonlinear equation of motion for the Dirac-Born-Infeld action of a D-string. The generalization of it gives a family of nonstatic AdS_2 brane solutions. They are deomonstrated to transform to each other under the isometry group of AdS_3 spacetime.