Emergent geometry through quantum entanglement in Matrix theories
| Autor: | Gray, Cameron, Sahakian, Vatche, Warfield, William |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | J. High Energ. Phys. 2021, 72 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP08(2021)072 |
| Popis: | 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. Comment: 29 pages, v2: Added clarifications about adiabatic regime, v3: Minor note added about final entropy expression |
| Databáze: | arXiv |
| Externí odkaz: |
|