Application of Solving Inverse Scattering Problem in Holographic Bulk Reconstruction

TL;DR

This paper develops a new inverse scattering method for bulk metric reconstruction in holography, enabling more efficient and robust recovery of spacetime geometry from boundary correlation functions.

Contribution

It generalizes previous scalar field methods to use a single operator and applies the approach to black hole and gauge field reconstructions, enhancing data-driven holographic techniques.

Findings

Successful reconstruction of static anisotropic black holes

Improved robustness against measurement noise

Demonstrated feasibility with gauge field correlations

Abstract

We investigate the problem of bulk metric reconstruction in holography by leveraging the inverse scattering framework applied to boundary two-point correlation functions. We generalize our previous work of scalar field and show that reconstruction can be achieved using a single operator rather than a pair. We also apply this method into reconstruction of static homogeneous anisotropic black holes and the reconstruction using correlation function of gauge field. In addition, we analyze the method's robustness under measurement noise and propose filtering strategies to improve reconstruction accuracy. This work advances data-driven bulk reconstruction by providing a concrete, experimentally viable pathway to recover spacetime geometry from field-theoretic observables.