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Building Bulk Geometry from the Tensor Radon Transform | | ChunJun Cao
; Xiao-Liang Qi
; Brian Swingle
; Eugene Tang
; | | Date: |
30 Jun 2020 | | 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 $mathrm{AdS}_3/mathrm{CFT}_2$. We find
that, given the boundary entanglement entropies of a $2$d 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. | | Source: | arXiv, 2007.0004 | | Services: | Forum | Review | PDF | Favorites | |
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