论文标题
广告$ _3 $重力和复杂的SYK模型
AdS$_3$ gravity and the complex SYK models
论文作者
论文摘要
我们提供了ADS $ _3 $重力的Compère-Song-Strominger（CSS）边界条件的非保形概括，该条件破坏了$ \ widehat u（1）$ kac-moody-virasoro对称性，即两个$ u（1）$ s。新边界条件指定的全息双重双重二元可以理解为扭曲的保形场理论（WCFT）的无关变形。在持续降低到两个维度后，广告$ _3 $重力导致变形的Jackiw-teitelboim Dilaton重力模型与麦克斯韦场相连。我们表明，接近极端性的边界条件在三个维度上从广义CSS边界条件继承而来，产生了与复杂的Sachdev-ye-Kitaev模型相同的对称破坏模式的有效动作。除了反映了形式对称性的破裂的Schwarzian术语外，有效的动作还包含一个额外的术语，该术语捕获了$ \ widehat u（1）$ kac-moody对称性的破坏。
We provide a non conformal generalization of the Compère-Song-Strominger (CSS) boundary conditions for AdS$_3$ gravity that breaks the $\widehat u(1)$ 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, AdS$_3$ 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 $\widehat u(1)$ Kac-Moody symmetry.
