Gray, Cameron and Sahakian, Vatche and Warfield, William (2021) Emergent geometry through quantum entanglement in Matrix theories. Journal of High Energy Physics, 2021 (8). Art. No. 72. ISSN 1029-8479. doi:10.1007/jhep08(2021)072. https://resolver.caltech.edu/CaltechAUTHORS:20210921-221652867
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Abstract
In the setting of the Berenstein-Maldacena-Nastase Matrix theory, dual to light-cone M-theory in a PP-wave background, we compute the Von Neumann entanglement entropy between a probe giant graviton and a source. We demonstrate that this entanglement entropy is directly and generally related to the local tidal acceleration experienced by the probe. This establishes a new map between local spacetime geometry and quantum entanglement, suggesting a mechanism through which geometry emerges from Matrix quantum mechanics. We extend this setting to light-cone M-theory in flat space, or the Banks-Fischler-Shenker-Susskind Matrix model, and we conjecture a new general relation between a certain measure of entanglement in Matrix theories and local spacetime geometry. The relation involves a ‘c-tensor’ that measures the evolution of local transverse area and relates to the local energy-momentum tensor measured by a probe.
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| Additional Information: | © 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: March 19, 2021; Revised: June 15, 2021; Accepted: July 29, 2021; Published: August 16, 2021. VS would like to thank the IPhT at Saclay for hosting him. This work was supported by NSF grant number PHY-0968726. We thank Adam Busis for participating in the initial stages of the BMN computation. | |||||||||
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| Subject Keywords: | Gauge-gravity correspondence, M(atrix) Theories | |||||||||
| Issue or Number: | 8 | |||||||||
| DOI: | 10.1007/jhep08(2021)072 | |||||||||
| Record Number: | CaltechAUTHORS:20210921-221652867 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210921-221652867 | |||||||||
| Official Citation: | Gray, C., Sahakian, V. & Warfield, W. Emergent geometry through quantum entanglement in Matrix theories. J. High Energ. Phys. 2021, 72 (2021). https://doi.org/10.1007/JHEP08(2021)072 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 110978 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 21 Sep 2021 23:32 | |||||||||
| Last Modified: | 21 Sep 2021 23:32 |
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