Building Bulk Geometry from the Tensor Radon Transform

TitleBuilding Bulk Geometry from the Tensor Radon Transform
Publication TypeJournal Article
Year of Publication2020
AuthorsCao, CJ, Q, X-L, Swingle, B, Tang, E
JournalJournal of High Energy Physics
Date Published12/4/2020

Using the tensor Radon transform and related numerical methods, we study how bulk geometries can be explicitly reconstructed from boundary entanglement entropies in the specific case of AdS3/CFT2. We find that, given the boundary entanglement entropies of a 2d CFT, this framework provides a quantitative measure that detects whether the bulk dual is geometric in the perturbative (near AdS) limit. In the case where a well-defined bulk geometry exists, we explicitly reconstruct the unique bulk metric tensor once a gauge choice is made. We then examine the emergent bulk geometries for static and dynamical scenarios in holography and in many-body systems. Apart from the physics results, our work demonstrates that numerical methods are feasible and effective in the study of bulk reconstruction in AdS/CFT.