von Neumann algebras in JT gravity
نویسندگان
چکیده
We quantize JT gravity with matter on the spatial interval two asymptotically AdS boundaries. consider von Neumann algebra generated by right Hamiltonian and gravitationally dressed operators boundary. prove that commutant of this is analogously defined left boundary both algebras are type II$_\infty$ factors. These provide a precise notion entanglement wedge away from semiclassical limit. comment how factorization problem differs between pure matter.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2023
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep06(2023)067