Information recovery from pure state geometries in 3D

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 semiclassical microstate geometries for understanding the information puzzle and to the need for including quantum effects.

Fuzzballs and Microstate Geometries: Black-Hole Structure in String Theory

“…The holographic map to the corresponding "superstratum states" in the CFT has been developed and correlators in superstrata have also been computed. In particular, HHL and HHLL correlators, which are the one-and two-point functions of light probes in the heavy supergravity background, have been thoroughly analyzed [94][95][96][97][98][99][100][101][102][103][104][105][106]. Full agreement is found where a direct comparison between supergravity and CFT can be made.…”

A note on the admissibility of complex BTZ metrics

“…Anti-de Sitter gravity in 2+1 dimensions provides a particularly rich setting to perform such a test. One peculiarity is that, unlike in higher dimensions, the Lorentzian metrics in the overspinning regime |J| > M , are not nakedly singular and can be described as quotients of global AdS without fixed points 1 [13]. Furthermore, conical defect solutions and their spinning cousins exist below the BTZ black hole threshold.…”

Holographic quantum scars

“…On the gravity side, one can find various examples of periodic behavior ranging from studies of circular orbits in AdS black hole backgrounds [83] to discrete scale invariance [84,85], cyclic RG flows [86], "solar systems" in AdS and its CFT dual [87] or time-periodic behaviour of a probe self-interacting scalar field, exhibiting a tower-of-states like structure, on the AdS background [88]. See also [89][90][91][92] for related topics.…”