Momentum-carrying waves on D1-D5 microstate geometries

TL;DR

This paper constructs a perturbation adding momentum to D1-D5 microstate geometries, demonstrating that such microstates can carry momentum without developing singularities, unlike classical black strings.

Contribution

It introduces a new perturbation method for D1-D5 microstates that adds momentum, challenging the no-hair theorem applicability to microstates.

Findings

Perturbation adds momentum without horizon formation.

The mode is analogous to a boundary-localized singleton.

Perturbation is pure gauge in the AdS interior at leading order.

Abstract

If one attempts to add momentum-carrying waves to a black string then the solution develops a singularity at the horizon; this is a manifestation of the 'no hair theorem' for black objects. However individual microstates of a black string do not have a horizon, and so the above theorem does not apply. We construct a perturbation that adds momentum to a family of microstates of the extremal D1-D5 string. This perturbation is analogous to the 'singleton' mode localized at the boundary of AdS; to leading order it is pure gauge in the AdS interior of the geometry.