Generalized conformal structure, dilaton gravity and SYK
Abstract A theory admits generalized conformal structure if the only scale in the quantum theory is set by a dimensionful coupling. SYK is an example of a theory with generalized conformal structure and in this paper we investigate the consequences of this structure for correlation functions and for...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2018)010 |
| _version_ | 1828420803772809216 |
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| author | Marika Taylor |
| author_facet | Marika Taylor |
| author_sort | Marika Taylor |
| collection | DOAJ |
| description | Abstract A theory admits generalized conformal structure if the only scale in the quantum theory is set by a dimensionful coupling. SYK is an example of a theory with generalized conformal structure and in this paper we investigate the consequences of this structure for correlation functions and for the holographic realization of SYK. The Ward identities associated with the generalized conformal structure of SYK are implemented holographically in gravity/multiple scalar theories, which always have a parent AdS3 origin. For questions involving only the graviton/running scalar sector, one can always describe the bulk running in terms of a single scalar but multiple running scalars are in general needed once one includes the bulk fields corresponding to all SYK operators. We then explore chaos in holographic theories with generalized conformal structure. The four point function explored by Maldacena, Shenker and Stanford exhibits exactly the same chaotic behaviour in any such theory as in holographic realizations of conformal theories i.e. the dimensionful coupling scale does not affect the chaotic exponential growth. |
| first_indexed | 2024-12-10T15:20:04Z |
| format | Article |
| id | doaj.art-1281ee7445a44da59dca250f4b15c377 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T15:20:04Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1281ee7445a44da59dca250f4b15c3772022-12-22T01:43:42ZengSpringerOpenJournal of High Energy Physics1029-84792018-01-012018114110.1007/JHEP01(2018)010Generalized conformal structure, dilaton gravity and SYKMarika Taylor0Mathematical Sciences and STAG Research Centre, University of SouthamptonAbstract A theory admits generalized conformal structure if the only scale in the quantum theory is set by a dimensionful coupling. SYK is an example of a theory with generalized conformal structure and in this paper we investigate the consequences of this structure for correlation functions and for the holographic realization of SYK. The Ward identities associated with the generalized conformal structure of SYK are implemented holographically in gravity/multiple scalar theories, which always have a parent AdS3 origin. For questions involving only the graviton/running scalar sector, one can always describe the bulk running in terms of a single scalar but multiple running scalars are in general needed once one includes the bulk fields corresponding to all SYK operators. We then explore chaos in holographic theories with generalized conformal structure. The four point function explored by Maldacena, Shenker and Stanford exhibits exactly the same chaotic behaviour in any such theory as in holographic realizations of conformal theories i.e. the dimensionful coupling scale does not affect the chaotic exponential growth.http://link.springer.com/article/10.1007/JHEP01(2018)010AdS-CFT CorrespondenceGauge-gravity correspondence |
| spellingShingle | Marika Taylor Generalized conformal structure, dilaton gravity and SYK Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence |
| title | Generalized conformal structure, dilaton gravity and SYK |
| title_full | Generalized conformal structure, dilaton gravity and SYK |
| title_fullStr | Generalized conformal structure, dilaton gravity and SYK |
| title_full_unstemmed | Generalized conformal structure, dilaton gravity and SYK |
| title_short | Generalized conformal structure, dilaton gravity and SYK |
| title_sort | generalized conformal structure dilaton gravity and syk |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence |
| url | http://link.springer.com/article/10.1007/JHEP01(2018)010 |
| work_keys_str_mv | AT marikataylor generalizedconformalstructuredilatongravityandsyk |