von Neumann algebras in JT gravity
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 th...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2023
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| Online Access: | https://hdl.handle.net/1721.1/150927 |
| _version_ | 1826197866317611008 |
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| author | Kolchmeyer, David K. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Kolchmeyer, David K. |
| author_sort | Kolchmeyer, David K. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:55:10Z |
| format | Article |
| id | mit-1721.1/150927 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:55:10Z |
| publishDate | 2023 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1509272024-01-31T18:51:38Z von Neumann algebras in JT gravity Kolchmeyer, David K. Massachusetts Institute of Technology. Center for Theoretical Physics 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. 2023-06-20T19:30:53Z 2023-06-20T19:30:53Z 2023-06-13 2023-06-18T03:10:32Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/150927 Journal of High Energy Physics. 2023 Jun 13;2023(6):67 PUBLISHER_CC en https://doi.org/10.1007/JHEP06(2023)067 Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Kolchmeyer, David K. von Neumann algebras in JT gravity |
| title | von Neumann algebras in JT gravity |
| title_full | von Neumann algebras in JT gravity |
| title_fullStr | von Neumann algebras in JT gravity |
| title_full_unstemmed | von Neumann algebras in JT gravity |
| title_short | von Neumann algebras in JT gravity |
| title_sort | von neumann algebras in jt gravity |
| url | https://hdl.handle.net/1721.1/150927 |
| work_keys_str_mv | AT kolchmeyerdavidk vonneumannalgebrasinjtgravity |