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TITLE AdS3 gravity and the complex SYK models
KIAS AUTHORS Papadimitriou, Ioannis
JOURNAL JOURNAL OF HIGH ENERGY PHYSICS, 2021
ARCHIVE arXiv:2011.10001
ABSTRACT We provide a non conformal generalization of the Comp?re-Song-Strominger (CSS) boundary conditions for AdS3 gravity that breaks the 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 u?(1) Kac-Moody symmetry.
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