Observing black holes through holographic superconductors

TL;DR

This paper introduces a method to visualize the photon ring of an anti-de Sitter black hole dual to a superconductor by analyzing the electromagnetic response, revealing changes in the photon ring size.

Contribution

It presents a novel holographic approach to observe black hole features via superconductor electromagnetic responses, linking bulk gravity to boundary field theory imaging.

Findings

Discontinuous change in photon ring size observed.

Bulk images reflect the influence of scalar condensate.

Method connects black hole imaging with superconductor dynamics.

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.