# Talk 124 - von Neumann algebras in JT gravity with matter

### APA

Kolchmeyer, D. (2023). Talk 124 - von Neumann algebras in JT gravity with matter. Perimeter Institute. https://pirsa.org/23070006

### MLA

Kolchmeyer, David. Talk 124 - von Neumann algebras in JT gravity with matter. Perimeter Institute, Jul. 31, 2023, https://pirsa.org/23070006

### BibTex

@misc{ pirsa_PIRSA:23070006, doi = {10.48660/23070006}, url = {https://pirsa.org/23070006}, author = {Kolchmeyer, David}, keywords = {Quantum Fields and Strings, Quantum Foundations, Quantum Information}, language = {en}, title = {Talk 124 - von Neumann algebras in JT gravity with matter}, publisher = {Perimeter Institute}, year = {2023}, month = {jul}, note = {PIRSA:23070006 see, \url{https://pirsa.org}} }

Massachusetts Institute of Technology

**Collection**

Talk Type

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 infinity factors. These algebras provide a precise notion of the entanglement wedge away from the semiclassical limit.