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Localized states in global AdS
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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 $(\Delta)$ at an instant of time. We give the state fixed angular momentum $(\ell)$ 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 $1/\sqrt{\Delta}$ 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.
Forward citations
Cited by 6 Pith papers
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Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity
Exact Krylov correlators in sl(2,R) models are proportional to proper radial momenta of infalling particles in BTZ black holes, extending the complexity-momentum correspondence to include fluctuations.
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Geodesics from Quantum Field Theory: A Case Study in AdS
Two new QFT prescriptions for geodesic motion are defined and shown to reproduce timelike and null geodesics in global AdS3 via stress tensor and position operator expectation values in scalar wave packets.
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Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity
Exact Krylov correlators in sl(2,R) models are proportional to radial momenta of infalling particles in the BTZ black hole, providing a step toward generalizing the complexity-momentum correspondence.
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Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity
Exact Krylov correlators in sl(2,R) models are proportional to radial momenta in BTZ black holes, extending the complexity-momentum correspondence to include fluctuations.
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Criticality of ISCOs and AdS/CFT
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Bulk Motion in Global AdS$_3$ from the Boundary Energy-Density Perspective
Boundary energy densities in CFT2 encode the periodic boundary-to-boundary propagation of null excitations in global AdS3 via chiral peaks whose weights and timing track bulk geodesics.
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