Towards a bulk description of higher spin SYK

Abstract We consider on the bulk side extensions of the Sachdev-Ye-Kitaev (SYK) model to Yang-Mills and higher spins. To this end we study generalizations of the Jackiw-Teitelboim (JT) model in the BF formulation. Our main goal is to obtain generalizations of the Schwarzian action, which we achieve...

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Main Authors: Hernán A. González, Daniel Grumiller, Jakob Salzer
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2018)083
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author Hernán A. González
Daniel Grumiller
Jakob Salzer
author_facet Hernán A. González
Daniel Grumiller
Jakob Salzer
author_sort Hernán A. González
collection DOAJ
description Abstract We consider on the bulk side extensions of the Sachdev-Ye-Kitaev (SYK) model to Yang-Mills and higher spins. To this end we study generalizations of the Jackiw-Teitelboim (JT) model in the BF formulation. Our main goal is to obtain generalizations of the Schwarzian action, which we achieve in two ways: by considering the on-shell action supplemented by suitable boundary terms compatible with all symmetries, and by applying the Lee-Wald-Zoupas formalism to analyze the symplectic structure of dilaton gravity. We conclude with a discussion of the entropy (including log-corrections from higher spins) and a holographic dictionary for the generalized SYK/JT correspondence.
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spelling doaj.art-d364d12025504d80861e09e30d8f14322022-12-22T00:53:04ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018514110.1007/JHEP05(2018)083Towards a bulk description of higher spin SYKHernán A. González0Daniel Grumiller1Jakob Salzer2Institute for Theoretical Physics, TU WienInstitute for Theoretical Physics, TU WienInstitute for Theoretical Physics, TU WienAbstract We consider on the bulk side extensions of the Sachdev-Ye-Kitaev (SYK) model to Yang-Mills and higher spins. To this end we study generalizations of the Jackiw-Teitelboim (JT) model in the BF formulation. Our main goal is to obtain generalizations of the Schwarzian action, which we achieve in two ways: by considering the on-shell action supplemented by suitable boundary terms compatible with all symmetries, and by applying the Lee-Wald-Zoupas formalism to analyze the symplectic structure of dilaton gravity. We conclude with a discussion of the entropy (including log-corrections from higher spins) and a holographic dictionary for the generalized SYK/JT correspondence.http://link.springer.com/article/10.1007/JHEP05(2018)0832D GravityAdS-CFT CorrespondenceField Theories in Lower DimensionsHigher Spin Gravity
spellingShingle Hernán A. González
Daniel Grumiller
Jakob Salzer
Towards a bulk description of higher spin SYK
Journal of High Energy Physics
2D Gravity
AdS-CFT Correspondence
Field Theories in Lower Dimensions
Higher Spin Gravity
title Towards a bulk description of higher spin SYK
title_full Towards a bulk description of higher spin SYK
title_fullStr Towards a bulk description of higher spin SYK
title_full_unstemmed Towards a bulk description of higher spin SYK
title_short Towards a bulk description of higher spin SYK
title_sort towards a bulk description of higher spin syk
topic 2D Gravity
AdS-CFT Correspondence
Field Theories in Lower Dimensions
Higher Spin Gravity
url http://link.springer.com/article/10.1007/JHEP05(2018)083
work_keys_str_mv AT hernanagonzalez towardsabulkdescriptionofhigherspinsyk
AT danielgrumiller towardsabulkdescriptionofhigherspinsyk
AT jakobsalzer towardsabulkdescriptionofhigherspinsyk