Factorization of the Hilbert space of eternal black holes in general relativity
Abstract We generalize recent results in two-dimensional Jackiw-Teitelboim gravity to study factorization of the Hilbert space of eternal black holes in quantum gravity with a negative cosmological constant in any dimension. We approach the problem by computing the trace of two-sided observables as...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)046 |
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| author | Vijay Balasubramanian Ben Craps Juan Hernandez Mikhail Khramtsov Maria Knysh |
| author_facet | Vijay Balasubramanian Ben Craps Juan Hernandez Mikhail Khramtsov Maria Knysh |
| author_sort | Vijay Balasubramanian |
| collection | DOAJ |
| description | Abstract We generalize recent results in two-dimensional Jackiw-Teitelboim gravity to study factorization of the Hilbert space of eternal black holes in quantum gravity with a negative cosmological constant in any dimension. We approach the problem by computing the trace of two-sided observables as a sum over a recently constructed family of semiclassically well-controlled black hole microstates. These microstates, which contain heavy matter shells behind the horizon and form an overcomplete basis of the Hilbert space, exist in any theory of gravity with general relativity as its low energy limit. Using this representation of the microstates, we show that the trace of operators dual to functions of the Hamiltonians of the left and right holographic CFTs factorizes into a product over left and right factors to leading order in the semiclassical limit. Under certain conditions this implies factorization of the Hilbert space. |
| format | Article |
| id | doaj-art-f6ae09c1b2524afba504060ffe1ad532 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f6ae09c1b2524afba504060ffe1ad5322025-01-19T12:07:14ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113210.1007/JHEP01(2025)046Factorization of the Hilbert space of eternal black holes in general relativityVijay Balasubramanian0Ben Craps1Juan Hernandez2Mikhail Khramtsov3Maria Knysh4David Rittenhouse Laboratory, University of PennsylvaniaTheoretische Natuurkunde, Vrije Universiteit Brussel (VUB) and The International Solvay InstitutesTheoretische Natuurkunde, Vrije Universiteit Brussel (VUB) and The International Solvay InstitutesDavid Rittenhouse Laboratory, University of PennsylvaniaTheoretische Natuurkunde, Vrije Universiteit Brussel (VUB) and The International Solvay InstitutesAbstract We generalize recent results in two-dimensional Jackiw-Teitelboim gravity to study factorization of the Hilbert space of eternal black holes in quantum gravity with a negative cosmological constant in any dimension. We approach the problem by computing the trace of two-sided observables as a sum over a recently constructed family of semiclassically well-controlled black hole microstates. These microstates, which contain heavy matter shells behind the horizon and form an overcomplete basis of the Hilbert space, exist in any theory of gravity with general relativity as its low energy limit. Using this representation of the microstates, we show that the trace of operators dual to functions of the Hamiltonians of the left and right holographic CFTs factorizes into a product over left and right factors to leading order in the semiclassical limit. Under certain conditions this implies factorization of the Hilbert space.https://doi.org/10.1007/JHEP01(2025)046AdS-CFT CorrespondenceBlack HolesBlack Holes in String Theory |
| spellingShingle | Vijay Balasubramanian Ben Craps Juan Hernandez Mikhail Khramtsov Maria Knysh Factorization of the Hilbert space of eternal black holes in general relativity Journal of High Energy Physics AdS-CFT Correspondence Black Holes Black Holes in String Theory |
| title | Factorization of the Hilbert space of eternal black holes in general relativity |
| title_full | Factorization of the Hilbert space of eternal black holes in general relativity |
| title_fullStr | Factorization of the Hilbert space of eternal black holes in general relativity |
| title_full_unstemmed | Factorization of the Hilbert space of eternal black holes in general relativity |
| title_short | Factorization of the Hilbert space of eternal black holes in general relativity |
| title_sort | factorization of the hilbert space of eternal black holes in general relativity |
| topic | AdS-CFT Correspondence Black Holes Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP01(2025)046 |
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