Localized states in global AdS

Joan Simon Soler, David Berenstein

Research output: Contribution to journalArticlepeer-review

Abstract

We construct both local states and scattering states with finite energy in global AdS by inserting properly regularized operators in the CFT of arbitrary conformal dimension (Δ) at an instant of time. We give the state fixed angular momentum (ℓ) by integrating the result over a sphere with appropriate spherical harmonics. The energy of the states and their angular resolution is computed with CFT operator methods and is independent of having an AdS interpretation. In the semiclassical limit of large conformal dimension operators, these correspond to single particles localized within subAdS scales with width 1/Δ in AdS units, whose subsequent evolution is controlled by bulk geodesics. Our construction allows us to place a particle in any desired geodesic. For radial geodesics, we show that the amplitude to produce the desired state can be thought of as a regularized tunneling amplitude from the boundary to the radial turning point of the radial geodesic, while for other geodesics we argue that the insertion is at the outermost radial turning point of the corresponding geodesic.
Original languageEnglish
Number of pages12
JournalPhysical Review D
Volume101
Issue number4
DOIs
Publication statusPublished - 20 Feb 2020

Fingerprint Dive into the research topics of 'Localized states in global AdS'. Together they form a unique fingerprint.

Cite this