Abstract
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.
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Cao, C., Qi, XL., Swingle, B. et al. Building bulk geometry from the tensor Radon transform. J. High Energ. Phys. 2020, 33 (2020). https://doi.org/10.1007/JHEP12(2020)033
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DOI: https://doi.org/10.1007/JHEP12(2020)033