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Emergent geometry through quantum entanglement in Matrix theories

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.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Sahakian, Vatche0000-0001-7906-8814
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
Record Number:CaltechAUTHORS:20210921-221652867
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Official Citation:Gray, C., Sahakian, V. & Warfield, W. Emergent geometry through quantum entanglement in Matrix theories. J. High Energ. Phys. 2021, 72 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110978
Deposited By: Tony Diaz
Deposited On:21 Sep 2021 23:32
Last Modified:21 Sep 2021 23:32

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