Information recovery from pure state geometries in 3D

Ondřej Hulík,Orestis Vasilakis,Joris Raeymaekers

doi:10.1007/jhep06(2020)119

Abstract

It is a well-studied phenomenon in AdS3/CFT2 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 semiclassical microstate geometries for understanding the information puzzle and to the need for including quantum effects.

Highlights

Introduction and summaryThe question of how information is returned from evaporating black holes [1] in a unitary theory of quantum gravity continues to challenge standard notions of the horizon and the validity of effective field theory [2, 3]
In this paper we study a special class of pure state geometries which do not display such information loss
A related manifestation of information loss in the context of AdS3/CFT2 was investigated in [6]: the classical geometry associated to a heavy primary state is the BTZ black hole [7]

Summary

Introduction

Introduction and summaryThe question of how information is returned from evaporating black holes [1] in a unitary theory of quantum gravity continues to challenge standard notions of the horizon and the validity of effective field theory [2, 3]. Spacetimes, a simple manifestation of the information puzzle was pointed out in [4] in the context of the AdS/CFT correspondence [5] In this case, the black hole geometry gives a description of the thermofield double state, yet it is ‘too thermal’ to correctly capture the late-time behaviour of correlators in the thermofield double state. A related manifestation of information loss in the context of AdS3/CFT2 was investigated in [6]: the classical geometry associated to a heavy primary state is the BTZ black hole [7]. This geometry is unreasonably thermal and leads to information-losing correlation functions which are not compatible with those of a pure state in a unitary CFT.

Objectives

Results

Conclusion