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arXiv · 2310.10419

Inverse problem of correlation functions in holography

Bo-Wen Fan·Run-Qiu Yang
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Abstract

This paper shows that the bulk metric of a planar/spherically/hyperbolically symmetric asymptotically anti-de Sitter static black brane/hole can be reconstructed from its boundary frequency 2-point correlation functions of two probe scalar operators by solving Gel'fand-Levitan-Marchenko integral equation. Since the frequency correlation function is easily handled in experiments and theories, this paper not only proposes a new method to ``measure'' the corresponding holographic spacetime for a material that has holographic dual but also provides an approach to experimentally check if a system has holographic dual.

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Bo-Wen Fan, Run-Qiu Yang. 2023-10-16. Inverse problem of correlation functions in holography. https://doi.org/10.1007/jhep10(2024)228

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