Imaging the quantum corrected AdS black hole via the AdS/CFT correspondence

In this paper, we applied AdS/CFT correspondence to carefully study images of quantum-corrected AdS black hole from the viewpoint of the wave optics. The result shows that the absolute amplitude of response function always displays an interference pattern that comes from the diffraction of the scalar wave. The strength of interference increases with quantum parameter a, while decreases with the event horizon [Formula: see text] and source parameters [Formula: see text]. For the images of dual black hole, one can see at position [Formula: see text] that it is a perfect Einstein ring with a series of concentric striped patterns around it, while it will be broken at other positions. This result well coincides with the geometrical optics, i.e. the radius of ring. The feature of images of dual black hole is closely related to the parameters of black hole, source, and optics system. Especially, the effect of quantum parameter a on images of AdS black hole is very important. For instance, it gives rise to the fact that the image would evolve into one light spot at [Formula: see text], rather than two which is usually found in Schwarzschild AdS black hole. Finally, since the holographic images constructed from observables of the quantum system focus on testing the existence of dual black hole, we conclude that the holographic images of quantum corrected AdS black hole presented in this paper would be more helpful for this target.