Towards the holographic dual of N = 2 $$ \mathcal{N}=2 $$ SYK
Abstract The gravitational part of the holographic dual to the SYK model has been conjectured to be Jackiw-Teitelboim (JT) gravity. In this paper we construct an AdS2 background in N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ JT gravity and show that the gravitational dynamics are — as in the N =...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2018)028 |
| _version_ | 1819067719179304960 |
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| author | Stefan Förste Joshua Kames-King Max Wiesner |
| author_facet | Stefan Förste Joshua Kames-King Max Wiesner |
| author_sort | Stefan Förste |
| collection | DOAJ |
| description | Abstract The gravitational part of the holographic dual to the SYK model has been conjectured to be Jackiw-Teitelboim (JT) gravity. In this paper we construct an AdS2 background in N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ JT gravity and show that the gravitational dynamics are — as in the N = 0 $$ \mathcal{N}=0 $$ and N = 1 $$ \mathcal{N}=1 $$ cases — fully captured by the extrinsic curvature as an effective boundary action. This boundary term is given by the super-Schwarzian of the N = 2 $$ \mathcal{N}=2 $$ SYK model, thereby providing further evidence of the JT/SYK duality. The chirality of this SYK model is reproduced by the inherent chirality of axial N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ supergravity. |
| first_indexed | 2024-12-21T16:22:43Z |
| format | Article |
| id | doaj.art-b5ec816895e24d16829d12819828df41 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T16:22:43Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b5ec816895e24d16829d12819828df412022-12-21T18:57:32ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018312110.1007/JHEP03(2018)028Towards the holographic dual of N = 2 $$ \mathcal{N}=2 $$ SYKStefan Förste0Joshua Kames-King1Max Wiesner2Bethe Center for Theoretical Physics and Physikalisches Institut der Universität BonnBethe Center for Theoretical Physics and Physikalisches Institut der Universität BonnBethe Center for Theoretical Physics and Physikalisches Institut der Universität BonnAbstract The gravitational part of the holographic dual to the SYK model has been conjectured to be Jackiw-Teitelboim (JT) gravity. In this paper we construct an AdS2 background in N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ JT gravity and show that the gravitational dynamics are — as in the N = 0 $$ \mathcal{N}=0 $$ and N = 1 $$ \mathcal{N}=1 $$ cases — fully captured by the extrinsic curvature as an effective boundary action. This boundary term is given by the super-Schwarzian of the N = 2 $$ \mathcal{N}=2 $$ SYK model, thereby providing further evidence of the JT/SYK duality. The chirality of this SYK model is reproduced by the inherent chirality of axial N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ supergravity.http://link.springer.com/article/10.1007/JHEP03(2018)0282D GravityAdS-CFT CorrespondenceExtended Supersymmetry |
| spellingShingle | Stefan Förste Joshua Kames-King Max Wiesner Towards the holographic dual of N = 2 $$ \mathcal{N}=2 $$ SYK Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence Extended Supersymmetry |
| title | Towards the holographic dual of N = 2 $$ \mathcal{N}=2 $$ SYK |
| title_full | Towards the holographic dual of N = 2 $$ \mathcal{N}=2 $$ SYK |
| title_fullStr | Towards the holographic dual of N = 2 $$ \mathcal{N}=2 $$ SYK |
| title_full_unstemmed | Towards the holographic dual of N = 2 $$ \mathcal{N}=2 $$ SYK |
| title_short | Towards the holographic dual of N = 2 $$ \mathcal{N}=2 $$ SYK |
| title_sort | towards the holographic dual of n 2 mathcal n 2 syk |
| topic | 2D Gravity AdS-CFT Correspondence Extended Supersymmetry |
| url | http://link.springer.com/article/10.1007/JHEP03(2018)028 |
| work_keys_str_mv | AT stefanforste towardstheholographicdualofn2mathcaln2syk AT joshuakamesking towardstheholographicdualofn2mathcaln2syk AT maxwiesner towardstheholographicdualofn2mathcaln2syk |