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AdS3 gravity and the complex SYK models

Pankaj Chaturvedi Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Ioannis Papadimitriou School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea Wei Song Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China; Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, USA Boyang Yu Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2204.74004

2021.5
We provide a non conformal generalization of the Compère-Song-Strominger (CSS) boundary conditions for AdS3 gravity that breaks the \hat{u}(1) Kac-Moody-Virasoro symmetry to two u(1)s. The holographic dual specified by the new boundary conditions can be understood as an irrelevant deformation of a warped conformal field theory (WCFT). Upon consistent reduction to two dimensions, AdS3 gravity results in a deformed Jackiw-Teitelboim dilaton gravity model coupled to a Maxwell field. We show that near extremality the boundary conditions inherited from generalized CSS boundary conditions in three dimensions give rise to an effective action exhibiting the same symmetry breaking pattern as the complex Sachdev-Ye-Kitaev models. Besides the Schwarzian term reflecting the breaking of conformal symmetry, the effective action contains an additional term that captures the breaking of the \hat{u}(1) Kac-Moody symmetry.
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@inproceedings{pankaj2021ads3,
  title={AdS3 gravity and the complex SYK models},
  author={Pankaj Chaturvedi, Ioannis Papadimitriou, Wei Song, and Boyang Yu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429151223845664165},
  year={2021},
}
Pankaj Chaturvedi, Ioannis Papadimitriou, Wei Song, and Boyang Yu. AdS3 gravity and the complex SYK models. 2021. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429151223845664165.
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