



01291nas a2200169   4500008004100000245005900041210005900100260001400159300000900173490000900182520082200191100001701013700001801030700001901048700001701067856003701084       2020                        eng d00aBuilding Bulk Geometry from the Tensor Radon Transform0 aBuilding Bulk Geometry from the Tensor Radon Transform  c12/4/2020  a1-500 v20203 a<p>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.</p>1 aCao, ChunJun1 aQ, Xiao-Liang1 aSwingle, Brian1 aTang, Eugene  uhttps://arxiv.org/abs/2007.00004