Year: 2019
Type: article
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_{4} 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_{4} 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.
Source: Physical Review Letters
Institutions: The University of Osaka, Chuo University, Nihon University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,750
Awards: G1237359042, Study on dielectric breakdown, vacuum decay, turbulence and thermalization by superstring theory, G2098864107, Nonequilibrium physics in AdS/CFT, Non-equilibrium and non-stationary phenomena in gauge/gravity duality, Selection of quantum field theories by chaos and superstring theory, G7383122121
OpenAlex ID: W2950123950