Three dimensional view of the SYK/AdS duality
Abstract We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS2, and subject to a delta function potential at the center of the interval along the third direction. This, throug...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2017)017 |
| _version_ | 1818971567855501312 |
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| author | Sumit R. Das Antal Jevicki Kenta Suzuki |
| author_facet | Sumit R. Das Antal Jevicki Kenta Suzuki |
| author_sort | Sumit R. Das |
| collection | DOAJ |
| description | Abstract We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS2, and subject to a delta function potential at the center of the interval along the third direction. This, through Kaluza-Klein procedure on AdS2 × (S 1)/Z 2, generates the spectrum reproducing the bi-local propagator at strong coupling. Furthermore, the leading 1/J correction calculated in this picture reproduces the known correction to the poles of the SYK propagator, providing credence to a conjecture that the bulk dual of this model can be interpreted as a three dimensional theory. |
| first_indexed | 2024-12-20T14:54:26Z |
| format | Article |
| id | doaj.art-a4edf54df74a44498d3127b1dba452de |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T14:54:26Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a4edf54df74a44498d3127b1dba452de2022-12-21T19:36:55ZengSpringerOpenJournal of High Energy Physics1029-84792017-09-012017912010.1007/JHEP09(2017)017Three dimensional view of the SYK/AdS dualitySumit R. Das0Antal Jevicki1Kenta Suzuki2Department of Physics and Astronomy, University of KentuckyDepartment of Physics, Brown UniversityDepartment of Physics, Brown UniversityAbstract We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS2, and subject to a delta function potential at the center of the interval along the third direction. This, through Kaluza-Klein procedure on AdS2 × (S 1)/Z 2, generates the spectrum reproducing the bi-local propagator at strong coupling. Furthermore, the leading 1/J correction calculated in this picture reproduces the known correction to the poles of the SYK propagator, providing credence to a conjecture that the bulk dual of this model can be interpreted as a three dimensional theory.http://link.springer.com/article/10.1007/JHEP09(2017)017AdS-CFT CorrespondenceGauge-gravity correspondence1/N Expansion2D Gravity |
| spellingShingle | Sumit R. Das Antal Jevicki Kenta Suzuki Three dimensional view of the SYK/AdS duality Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence 1/N Expansion 2D Gravity |
| title | Three dimensional view of the SYK/AdS duality |
| title_full | Three dimensional view of the SYK/AdS duality |
| title_fullStr | Three dimensional view of the SYK/AdS duality |
| title_full_unstemmed | Three dimensional view of the SYK/AdS duality |
| title_short | Three dimensional view of the SYK/AdS duality |
| title_sort | three dimensional view of the syk ads duality |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence 1/N Expansion 2D Gravity |
| url | http://link.springer.com/article/10.1007/JHEP09(2017)017 |
| work_keys_str_mv | AT sumitrdas threedimensionalviewofthesykadsduality AT antaljevicki threedimensionalviewofthesykadsduality AT kentasuzuki threedimensionalviewofthesykadsduality |