Information recovery from pure state geometries in 3D

TL;DR

This paper constructs multi-centered pure state geometries in AdS3 that avoid information loss, demonstrating that information can be recovered from certain complex bulk configurations, challenging the traditional black hole microstate picture.

Contribution

It introduces a class of multi-centered pure state geometries in AdS3 with explicit constructions and shows how information retrieval is possible in these backgrounds.

Findings

Two-point functions indicate information recovery in these geometries.

Highly extended star-like bulk objects correspond to reliable geometric states.

Challenges the limitations of the semiclassical fuzzball picture.

Abstract

It is a well-studied phenomenon in AdS$_3$/CFT$_2$ that pure states often appear 'too thermal' in the classical gravity limit, leading to a version of the information puzzle. One example is the case of a heavy scalar primary state, whose associated classical geometry is the BTZ black hole. Another example is provided by a heavy left-moving primary, which displays late time decay in chiral correlators. In this paper we study a special class of pure state geometries which do not display such information loss. They describe heavy CFT states created by a collection of chiral operators at various positions on the complex plane. In the bulk, these take the form of multi-centered solutions from the backreaction of a collection of spinning particles, which we construct for circular distributions of particles. We compute the two-point function of probe operators in these backgrounds and show that information is retrieved. We observe that the states for which our geometric picture is reliable are highly extended star-like objects in the bulk description. This may point to limitations of the semiclassical fuzzball picture of black hole microstates.