Building bulk geometry from the tensor Radon transform
- Univ. of Maryland, College Park, MD (United States)
- Stanford Univ., CA (United States)
- California Institute of Technology (CalTech), Pasadena, CA (United States)
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.
- Research Organization:
- California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Oakland, CA (United States); Univ. of Maryland, College Park, MD (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation; Institute for Quantum Information and Matter; National Science Foundation (NSF); US Air Force Office of Scientific Research (AFOSR); Natural Sciences and Engineering Research Council of Canada (NSERC)
- Grant/Contract Number:
- SC0018407; SC0019380; PHY-1733907; FA9550-1901-0360
- OSTI ID:
- 1852626
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2020, Issue 12; ISSN 1029-8479
- Publisher:
- Springer NatureCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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