Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom

被引:0
|
作者
Gautam, Vaibhav [1 ,2 ]
Hanada, Masanori [1 ]
Jevicki, Antal [3 ]
机构
[1] Queen Mary Univ London, Sch Math Sci, Mile End Rd, London E1 4NS, England
[2] Univ Tokyo, Kavli IPMU WPI, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, Japan
[3] Brown Univ, Brown Theoret Phys Ctrz, 340 Brook St, Providence, RI 02912 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2025年 / 01期
关键词
AdS-CFT Correspondence; Black Holes in String Theory; Gauge-Gravity Correspondence; M(atrix) Theories; BOUND-STATES;
D O I
10.1007/JHEP01(2025)019
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
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页数:34
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