AdS$_3$ gravity and the complex SYK models
Abstract
We provide a non conformal generalization of the Comp\`ere-Song-Strominger (CSS) boundary conditions for AdS gravity that breaks the Kac-Moody-Virasoro symmetry to two 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, AdS 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 Kac-Moody symmetry.
Keywords
Cite
@article{arxiv.2011.10001,
title = {AdS$_3$ gravity and the complex SYK models},
author = {Pankaj Chaturvedi and Ioannis Papadimitriou and Wei Song and Boyang Yu},
journal= {arXiv preprint arXiv:2011.10001},
year = {2021}
}
Comments
49 pages, 1 figure; v2 minor corrections and additions. Version to appear in JHEP