von Neumann algebras in JT gravity
Name
13130_2023_Article_21063.pdf
Size
1000.48 KB
Format
Adobe PDF
Checksum (MD5)
f99bd930411b0a6f51ec275c5e764f33
Author(s)
Kolchmeyer, David K.
Date Issued
June 13, 2023
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2023 Jun 13;2023(6):67
Version
Final published version
Abstract
Abstract
We quantize JT gravity with matter on the spatial interval with two asymptotically AdS boundaries. We consider the von Neumann algebra generated by the right Hamiltonian and the gravitationally dressed matter operators on the right boundary. We prove that the commutant of this algebra is the analogously defined left boundary algebra and that both algebras are type II∞ factors. These algebras provide a precise notion of the entanglement wedge away from the semiclassical limit. We comment on how the factorization problem differs between pure JT gravity and JT gravity with matter.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP06(2023)067
