The centaur-algebra of observables
Abstract This letter explores a transition in the type of von Neumann algebra for asymptotically AdS spacetimes from the implementations of the different gravitational constraints. We denote it as the centaur-algebra of observables. In the first part of the letter, we employ a class of flow geometri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)008 |
| _version_ | 1797276106089299968 |
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| author | Sergio E. Aguilar-Gutierrez Eyoab Bahiru Ricardo Espíndola |
| author_facet | Sergio E. Aguilar-Gutierrez Eyoab Bahiru Ricardo Espíndola |
| author_sort | Sergio E. Aguilar-Gutierrez |
| collection | DOAJ |
| description | Abstract This letter explores a transition in the type of von Neumann algebra for asymptotically AdS spacetimes from the implementations of the different gravitational constraints. We denote it as the centaur-algebra of observables. In the first part of the letter, we employ a class of flow geometries interpolating between AdS2 and dS2 spaces, the centaur geometries. We study the type II ∞ crossed product algebra describing the semiclassical gravitational theory, and we explore the algebra of bounded sub-regions in the bulk theory following T T ¯ $$ T\overline{T} $$ deformations of the geometry and study the gravitational constraints with respect to the quasi-local Brown-York energy of the system at a finite cutoff. In the second part, we study arbitrary asymptotically AdS spacetimes, where we implement the boundary protocol of an infalling observer modeled as a probe black hole proposed by [1] to study modifications in the algebra. In both situations, we show how incorporating the constraints requires a type II1 description. |
| first_indexed | 2024-03-07T15:23:35Z |
| format | Article |
| id | doaj.art-1f269e44f9d548128447f3dfc39656a9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:23:35Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1f269e44f9d548128447f3dfc39656a92024-03-05T17:26:43ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024311710.1007/JHEP03(2024)008The centaur-algebra of observablesSergio E. Aguilar-Gutierrez0Eyoab Bahiru1Ricardo Espíndola2Institute for Theoretical Physics, KU LeuvenInternational School for Advanced Studies (SISSA)Institute for Advanced Study, Tsinghua UniversityAbstract This letter explores a transition in the type of von Neumann algebra for asymptotically AdS spacetimes from the implementations of the different gravitational constraints. We denote it as the centaur-algebra of observables. In the first part of the letter, we employ a class of flow geometries interpolating between AdS2 and dS2 spaces, the centaur geometries. We study the type II ∞ crossed product algebra describing the semiclassical gravitational theory, and we explore the algebra of bounded sub-regions in the bulk theory following T T ¯ $$ T\overline{T} $$ deformations of the geometry and study the gravitational constraints with respect to the quasi-local Brown-York energy of the system at a finite cutoff. In the second part, we study arbitrary asymptotically AdS spacetimes, where we implement the boundary protocol of an infalling observer modeled as a probe black hole proposed by [1] to study modifications in the algebra. In both situations, we show how incorporating the constraints requires a type II1 description.https://doi.org/10.1007/JHEP03(2024)0082D GravityAdS-CFT Correspondencede Sitter space |
| spellingShingle | Sergio E. Aguilar-Gutierrez Eyoab Bahiru Ricardo Espíndola The centaur-algebra of observables Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence de Sitter space |
| title | The centaur-algebra of observables |
| title_full | The centaur-algebra of observables |
| title_fullStr | The centaur-algebra of observables |
| title_full_unstemmed | The centaur-algebra of observables |
| title_short | The centaur-algebra of observables |
| title_sort | centaur algebra of observables |
| topic | 2D Gravity AdS-CFT Correspondence de Sitter space |
| url | https://doi.org/10.1007/JHEP03(2024)008 |
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