Shockwaves from the operator product expansion
Abstract We clarify and further explore the CFT dual of shockwave geometries in Anti-de Sitter. The shockwave is dual to a CFT state produced by a heavy local operator inserted at a complex point. It can also be created by light operators, smeared over complex positions. We describe the dictionary i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2019)201 |
| _version_ | 1819130818893709312 |
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| author | Nima Afkhami-Jeddi Thomas Hartman Sandipan Kundu Amirhossein Tajdini |
| author_facet | Nima Afkhami-Jeddi Thomas Hartman Sandipan Kundu Amirhossein Tajdini |
| author_sort | Nima Afkhami-Jeddi |
| collection | DOAJ |
| description | Abstract We clarify and further explore the CFT dual of shockwave geometries in Anti-de Sitter. The shockwave is dual to a CFT state produced by a heavy local operator inserted at a complex point. It can also be created by light operators, smeared over complex positions. We describe the dictionary in both cases, and compare to various calculations, old and new. In CFT, we analyze the operator product expansion in the Regge limit, and find that the leading contribution is exactly the shockwave operator, ∫ duh uu , localized on a bulk geodesic. For heavy sources this is a simple consequence of conformal invariance, but for light operators it involves a smearing procedure that projects out certain double-trace contributions to the OPE. We revisit causality constraints in large-N CFT from this perspective, and show that the chaos bound in CFT coincides with a bulk condition proposed by Engelhardt and Fischetti. In particular states, this reproduces known constraints on CFT 3-point couplings, and confirms some assumptions about double-trace operators made in previous work. |
| first_indexed | 2024-12-22T09:05:40Z |
| format | Article |
| id | doaj.art-ddcc6fb1e6b14d43a8355e2f160057f3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T09:05:40Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ddcc6fb1e6b14d43a8355e2f160057f32022-12-21T18:31:36ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019314710.1007/JHEP03(2019)201Shockwaves from the operator product expansionNima Afkhami-Jeddi0Thomas Hartman1Sandipan Kundu2Amirhossein Tajdini3Department of Physics, Cornell UniversityDepartment of Physics, Cornell UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics, Cornell UniversityAbstract We clarify and further explore the CFT dual of shockwave geometries in Anti-de Sitter. The shockwave is dual to a CFT state produced by a heavy local operator inserted at a complex point. It can also be created by light operators, smeared over complex positions. We describe the dictionary in both cases, and compare to various calculations, old and new. In CFT, we analyze the operator product expansion in the Regge limit, and find that the leading contribution is exactly the shockwave operator, ∫ duh uu , localized on a bulk geodesic. For heavy sources this is a simple consequence of conformal invariance, but for light operators it involves a smearing procedure that projects out certain double-trace contributions to the OPE. We revisit causality constraints in large-N CFT from this perspective, and show that the chaos bound in CFT coincides with a bulk condition proposed by Engelhardt and Fischetti. In particular states, this reproduces known constraints on CFT 3-point couplings, and confirms some assumptions about double-trace operators made in previous work.http://link.springer.com/article/10.1007/JHEP03(2019)201AdS-CFT CorrespondenceConformal Field TheoryModels of Quantum Gravity |
| spellingShingle | Nima Afkhami-Jeddi Thomas Hartman Sandipan Kundu Amirhossein Tajdini Shockwaves from the operator product expansion Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Models of Quantum Gravity |
| title | Shockwaves from the operator product expansion |
| title_full | Shockwaves from the operator product expansion |
| title_fullStr | Shockwaves from the operator product expansion |
| title_full_unstemmed | Shockwaves from the operator product expansion |
| title_short | Shockwaves from the operator product expansion |
| title_sort | shockwaves from the operator product expansion |
| topic | AdS-CFT Correspondence Conformal Field Theory Models of Quantum Gravity |
| url | http://link.springer.com/article/10.1007/JHEP03(2019)201 |
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