Generalized conformal structure, dilaton gravity and SYK
Generalized conformal structure, dilaton gravity and SYK
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.
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
2018
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Taylor, Marika
(2018)
Generalized conformal structure, dilaton gravity and SYK.
Journal of High Energy Physics, 2018 (1), [10].
(doi:10.1007/JHEP01(2018)010).
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.
Text
10.1007_JHEP01(2018)010
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Accepted/In Press date: 25 December 2017
e-pub ahead of print date: 2 January 2018
Published date: 2018
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Local EPrints ID: 416937
URI: http://eprints.soton.ac.uk/id/eprint/416937
ISSN: 1029-8479
PURE UUID: 69d27bdb-b476-4d70-8b7e-8bcf5627dda3
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Date deposited: 15 Jan 2018 17:30
Last modified: 16 Mar 2024 04:10
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