The holographic entropy cone from marginal independence
Abstract The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the holographic entropy cone, for an arbitrary number of parties...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)190 |
| _version_ | 1798001661248012288 |
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| author | Sergio Hernández-Cuenca Veronika E. Hubeny Massimiliano Rota |
| author_facet | Sergio Hernández-Cuenca Veronika E. Hubeny Massimiliano Rota |
| author_sort | Sergio Hernández-Cuenca |
| collection | DOAJ |
| description | Abstract The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the holographic entropy cone, for an arbitrary number of parties, can be reconstructed from more fundamental data determined solely by subadditivity of quantum entropy. We formulate certain conjectures about graph models of holographic entanglement, for which we provide strong evidence, and rigorously prove that they all imply that such a reconstruction is possible. Our conjectures (except only for the weakest) further imply that the necessary data is remarkably simple. In essence, all one needs to know to reconstruct the holographic entropy cone, is a certain subset of the extreme rays of this simpler “subadditivity cone”, namely those which can be realized in holography. This recasting of the bewildering entanglement structure of geometric states into primal building blocks paves the way to distilling the essence of holography for the emergence of a classical bulk spacetime. |
| first_indexed | 2024-04-11T11:39:51Z |
| format | Article |
| id | doaj.art-321ec7eee32949678cf681fb6545257c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T11:39:51Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-321ec7eee32949678cf681fb6545257c2022-12-22T04:25:51ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022917510.1007/JHEP09(2022)190The holographic entropy cone from marginal independenceSergio Hernández-Cuenca0Veronika E. Hubeny1Massimiliano Rota2Department of Physics, University of CaliforniaCenter for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, University of CaliforniaInstitute for Theoretical Physics, University of AmsterdamAbstract The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the holographic entropy cone, for an arbitrary number of parties, can be reconstructed from more fundamental data determined solely by subadditivity of quantum entropy. We formulate certain conjectures about graph models of holographic entanglement, for which we provide strong evidence, and rigorously prove that they all imply that such a reconstruction is possible. Our conjectures (except only for the weakest) further imply that the necessary data is remarkably simple. In essence, all one needs to know to reconstruct the holographic entropy cone, is a certain subset of the extreme rays of this simpler “subadditivity cone”, namely those which can be realized in holography. This recasting of the bewildering entanglement structure of geometric states into primal building blocks paves the way to distilling the essence of holography for the emergence of a classical bulk spacetime.https://doi.org/10.1007/JHEP09(2022)190AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Sergio Hernández-Cuenca Veronika E. Hubeny Massimiliano Rota The holographic entropy cone from marginal independence Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | The holographic entropy cone from marginal independence |
| title_full | The holographic entropy cone from marginal independence |
| title_fullStr | The holographic entropy cone from marginal independence |
| title_full_unstemmed | The holographic entropy cone from marginal independence |
| title_short | The holographic entropy cone from marginal independence |
| title_sort | holographic entropy cone from marginal independence |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP09(2022)190 |
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