Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom
Abstract For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of the bulk geometry can be constructed. We pay attention to the...
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)019 |
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| author | Vaibhav Gautam Masanori Hanada Antal Jevicki |
| author_facet | Vaibhav Gautam Masanori Hanada Antal Jevicki |
| author_sort | Vaibhav Gautam |
| collection | DOAJ |
| description | Abstract For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of the bulk geometry can be constructed. We pay attention to the subtle difference between the notions of wave packets that describe low-energy excitations: QFT wave packet associated with the spatial dimensions of QFT, matrix wave packet associated with the emergent dimensions from matrix degrees of freedom, and bulk wave packet which is a combination of QFT and matrix wave packets. In QFT, there is an intriguing interplay between QFT wave packet and matrix wave packet that connects quantum entanglement and emergent geometry. We propose that the bulk wave packet is the physical object in QFT that describes the emergent geometry from entanglement. This proposal sets a unified view on two seemingly different mechanisms of holographic emergent geometry: one based on matrix eigenvalues and the other based on quantum entanglement. Further intuition comes from the similarity to a traversable wormhole discussed as the dual description of the coupled SYK model by Maldacena and Qi: the bulk can be seen as an eternal traversable wormhole connecting boundary regions. |
| format | Article |
| id | doaj-art-c016e6971f2142789d76090c5ecb0f6b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c016e6971f2142789d76090c5ecb0f6b2025-01-19T12:06:52ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113410.1007/JHEP01(2025)019Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedomVaibhav Gautam0Masanori Hanada1Antal Jevicki2School of Mathematical Sciences, Queen Mary University of LondonSchool of Mathematical Sciences, Queen Mary University of LondonBrown Theoretical Physics Center, Brown UniversityAbstract For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of the bulk geometry can be constructed. We pay attention to the subtle difference between the notions of wave packets that describe low-energy excitations: QFT wave packet associated with the spatial dimensions of QFT, matrix wave packet associated with the emergent dimensions from matrix degrees of freedom, and bulk wave packet which is a combination of QFT and matrix wave packets. In QFT, there is an intriguing interplay between QFT wave packet and matrix wave packet that connects quantum entanglement and emergent geometry. We propose that the bulk wave packet is the physical object in QFT that describes the emergent geometry from entanglement. This proposal sets a unified view on two seemingly different mechanisms of holographic emergent geometry: one based on matrix eigenvalues and the other based on quantum entanglement. Further intuition comes from the similarity to a traversable wormhole discussed as the dual description of the coupled SYK model by Maldacena and Qi: the bulk can be seen as an eternal traversable wormhole connecting boundary regions.https://doi.org/10.1007/JHEP01(2025)019AdS-CFT CorrespondenceBlack Holes in String TheoryGauge-Gravity CorrespondenceM(atrix) Theories |
| spellingShingle | Vaibhav Gautam Masanori Hanada Antal Jevicki Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Gauge-Gravity Correspondence M(atrix) Theories |
| title | Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom |
| title_full | Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom |
| title_fullStr | Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom |
| title_full_unstemmed | Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom |
| title_short | Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom |
| title_sort | operator algebra quantum entanglement and emergent geometry from matrix degrees of freedom |
| topic | AdS-CFT Correspondence Black Holes in String Theory Gauge-Gravity Correspondence M(atrix) Theories |
| url | https://doi.org/10.1007/JHEP01(2025)019 |
| work_keys_str_mv | AT vaibhavgautam operatoralgebraquantumentanglementandemergentgeometryfrommatrixdegreesoffreedom AT masanorihanada operatoralgebraquantumentanglementandemergentgeometryfrommatrixdegreesoffreedom AT antaljevicki operatoralgebraquantumentanglementandemergentgeometryfrommatrixdegreesoffreedom |