Gravitational Wilson lines in 3D de Sitter
Abstract We construct local probes in the static patch of Euclidean dS3 gravity. These probes are Wilson line operators, designed by exploiting the Chern-Simons formulation of 3D gravity. Our prescription uses non-unitary representations of so (4) ≃ su (2) L × su(2) R , and we evaluate the Wilson li...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2020)202 |
| _version_ | 1818276533063647232 |
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| author | Alejandra Castro Philippe Sabella-Garnier Claire Zukowski |
| author_facet | Alejandra Castro Philippe Sabella-Garnier Claire Zukowski |
| author_sort | Alejandra Castro |
| collection | DOAJ |
| description | Abstract We construct local probes in the static patch of Euclidean dS3 gravity. These probes are Wilson line operators, designed by exploiting the Chern-Simons formulation of 3D gravity. Our prescription uses non-unitary representations of so (4) ≃ su (2) L × su(2) R , and we evaluate the Wilson line for states satisfying a singlet condition. We discuss how to reproduce the Green’s functions of massive scalar fields in dS3, the construction of bulk fields, and the quasinormal mode spectrum. We also discuss the interpretation of our construction in Lorentzian signature in the inflationary patch, via SL(2, ℂ) Chern-Simons theory. |
| first_indexed | 2024-12-12T22:47:09Z |
| format | Article |
| id | doaj.art-f4d3d2b2c8964ce18bd874cce79684b1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T22:47:09Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f4d3d2b2c8964ce18bd874cce79684b12022-12-22T00:09:09ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020714010.1007/JHEP07(2020)202Gravitational Wilson lines in 3D de SitterAlejandra Castro0Philippe Sabella-Garnier1Claire Zukowski2Institute for Theoretical Physics, University of AmsterdamLorentz Institute, Leiden UniversityInstitute for Theoretical Physics, University of AmsterdamAbstract We construct local probes in the static patch of Euclidean dS3 gravity. These probes are Wilson line operators, designed by exploiting the Chern-Simons formulation of 3D gravity. Our prescription uses non-unitary representations of so (4) ≃ su (2) L × su(2) R , and we evaluate the Wilson line for states satisfying a singlet condition. We discuss how to reproduce the Green’s functions of massive scalar fields in dS3, the construction of bulk fields, and the quasinormal mode spectrum. We also discuss the interpretation of our construction in Lorentzian signature in the inflationary patch, via SL(2, ℂ) Chern-Simons theory.http://link.springer.com/article/10.1007/JHEP07(2020)202Chern-Simons TheoriesClassical Theories of GravityWilson’t Hooft and Polyakov loops |
| spellingShingle | Alejandra Castro Philippe Sabella-Garnier Claire Zukowski Gravitational Wilson lines in 3D de Sitter Journal of High Energy Physics Chern-Simons Theories Classical Theories of Gravity Wilson ’t Hooft and Polyakov loops |
| title | Gravitational Wilson lines in 3D de Sitter |
| title_full | Gravitational Wilson lines in 3D de Sitter |
| title_fullStr | Gravitational Wilson lines in 3D de Sitter |
| title_full_unstemmed | Gravitational Wilson lines in 3D de Sitter |
| title_short | Gravitational Wilson lines in 3D de Sitter |
| title_sort | gravitational wilson lines in 3d de sitter |
| topic | Chern-Simons Theories Classical Theories of Gravity Wilson ’t Hooft and Polyakov loops |
| url | http://link.springer.com/article/10.1007/JHEP07(2020)202 |
| work_keys_str_mv | AT alejandracastro gravitationalwilsonlinesin3ddesitter AT philippesabellagarnier gravitationalwilsonlinesin3ddesitter AT clairezukowski gravitationalwilsonlinesin3ddesitter |