Revisiting the D1/D5 System or Bubbling in AdS_3

TL;DR

This paper explores the relationship between bubbling solutions and microscopic D1/D5 solutions in AdS_3, revealing that the regular near horizon D1/D5 system encompasses all bubbling solutions and highlighting key differences from AdS_5 imes S^5.

Contribution

It establishes a detailed connection between bubbling constructions and microscopic D1/D5 solutions in AdS_3, and investigates extensions to non-regular solutions including singularities and CTCs.

Findings

Regular near horizon D1/D5 contains all bubbling solutions

Perimeter, not area, is key in AdS_3 bubbling

Chronology protection via AdS/CFT in singular solutions

Abstract

In this article we study the relation between the bubbling construction and the Mathur's microscopic solutions for the D1/D5 system. We have found that the regular near horizon D1/D5 system (after appropriated constraints are imposed) contains all the bubbling regular solutions. Then, we show that the features of this system are rather different from the bubbling in $AdS_5\times S^5$, since the perimeter and not the area plays a key role. After setting the main dictionary between the two approaches, we investigate on extensions to non-regular solutions like conical defects and/or naked singular solutions. In particular, among the latter metrics, closed time-like curves are found together with a chronology protection mechanism enforced by the AdS/CFT duality.