Einstein Rings in Holography
arXiv:1906.09113 · doi:10.1103/PhysRevLett.123.031602
Abstract
Clarifying conditions for the existence of a gravitational picture for a given quantum field theory (QFT) is one of the fundamental problems in the AdS/CFT correspondence. We propose a direct way to demonstrate the existence of the dual black holes: imaging an Einstein ring. We consider a response function of the thermal QFT on a two-dimensional sphere under a time-periodic localized source. The dual gravity picture, if it exists, is a black hole in an asymptotic global AdS and a bulk probe field with a localized source on the AdS boundary. The response function corresponds to the asymptotic data of the bulk field propagating in the black hole spacetime. We find a formula that converts the response function to the image of the dual black hole: The view of the sky of the AdS bulk from a point on the boundary. Using the formula, we demonstrate that, for a thermal state dual to the Schwarzschild-AdS spacetime, the Einstein ring is constructed from the response function. The evaluated Einstein radius is found to be determined by the total energy of the dual QFT. Our theoretical proposal opens a door to gravitational phenomena on strongly correlated materials.
5+2 pages, 5 figures, accepted for publication in Physical Review Letters. arXiv admin note: substantial text overlap with arXiv:1811.12617
References in corpus (19)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- A bound on chaos
- Quasinormal modes of black holes and black branes
- Building an AdS/CFT superconductor
- Black holes and the butterfly effect
- AdS/CFT Correspondence and Symmetry Breaking
- Holographic Superconductors
- Breaking an Abelian gauge symmetry near a black hole horizon
- Holography from Conformal Field Theory
- What can gauge-gravity duality teach us about condensed matter physics?
- On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- A Bohr-Sommerfeld quantization formula for quasinormal frequencies of AdS black holes
- Breit-Wigner resonances and the quasinormal modes of anti-de Sitter black holes
- Wave Optics in Black Hole Spacetimes: Schwarzschild Case
- Viewing Black Holes by Waves
- Towards a Holographic Bose-Hubbard Model
Cited by in corpus (18)
- Imaging black holes through AdS/CFT
- Shadow of charged black holes in Gauss-Bonnet gravity
- Hyperbolic Band Theory under Magnetic Field and Dirac Cones on a Higher Genus Surface
- Holographic Einstein Ring of a Charged AdS Black Hole
- Observing black holes through holographic superconductors
- Holographic cameras: an eye for the bulk
- Black hole bulk-cone singularities
- Shadow of the Reissner-Nordström AdS Black Hole
- Static spheres and Aschenbach effect for black holes in massive gravity
- Trajectories of photons around a rotating black hole with unusual asymptotics
- On the Curvature Invariants of the Massive Banados-Teitelboim-Zanelli Black Holes and Their Holographic Pictures
- Creating stars orbiting in AdS
- Lumos Extrema
- Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessence: Geodesics, Thermodynamic Topology, and Quasinormal Modes
- Strong gravitational lensing of a five-dimensional charged, equally rotating black hole with a cosmological constant
- Operator dependence and robustness of spacetime-localized response in a quantum critical spin chain
- AdS gravastar and its signatures from dual conformal field theory
- Bulk-cone singularities and echoes from AdS exotic compact objects