Observing black holes through holographic superconductors

Abstract

We propose a way to observe the photon ring of the asymptotically anti-de Sitter black hole dual to a superconductor on the two-dimensional sphere. We consider the electric current of the superconductor under the localized time-periodic external electromagnetic field. On the gravity side, the bulk Maxwell field is sent from the AdS boundary and then diffracted by the black hole. We construct the image of the black hole from the asymptotic data of the bulk Maxwell field that corresponds to the electric current on the field theory side. We decompose the electric current into the dissipative and non-dissipative parts and take the dissipative part for the imaging of the black hole. We investigate the effect of the charged scalar condensate on the image. We obtain the bulk images that indicate the discontinuous change of the size of the photon ring.

30 pages, 20 figures

References in corpus (12)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Building an AdS/CFT superconductor
• Lectures on Holographic Superfluidity and Superconductivity
• More on Supersymmetric and 2d Analogs of the SYK Model
• Three Dimensional View of the SYK/AdS Duality
• Gauge gravity duality for d-wave superconductors: prospects and challenges
• Non-equilibrium Condensation Process in a Holographic Superconductor
• A proposal of the gauge theory description of the small Schwarzschild black hole in AdS${}_5\times$S${}^5$
• Einstein Rings in Holography
• Small AdS black holes from SYM
• Large $N$ phase transitions and the fate of small Schwarzschild-AdS black holes
• Stability of Holographic Superconductors