A universal Schwarzian sector in two-dimensional conformal field theories
A universal Schwarzian sector in two-dimensional conformal field theories
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DOI：
10.1007/jhep05(2020)104
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发表时间：
2019-12
影响因子：
5.4
通讯作者：
Animik Ghosh;Henry Maxfield;G. Turiaci
中科院分区：
文献类型：
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作者：
Animik Ghosh;Henry Maxfield;G. Turiaci
我们表明，一个非常通用的类二维共形场理论（CFTs）包含一个部门所描述的施瓦茨理论。这适用于没有额外对称性和大中心电荷的理论，但不需要全息对偶。具体来说，我们使用自举方法表明，在巨正则系综，在低温下与化学势采购大角动量，状态和相关函数的密度由Schwarzian理论，参数小的修正。特别是，我们计算出的时间顺序在一个受控的近似近似。对于全息理论，这些结果具有大的、近极端旋转的BTZ黑洞的引力解释，这些黑洞具有近视界喉道，具有接近AdS 2× S 1的几何形状。Schwarzian描述了喉部的强耦合引力动力学，它可以简化为Jackiw-Teitelboim（JT）引力与与横向旋转相关的U（1）场相互作用，耦合到物质。我们匹配的物理在喉咙的观测在AdS 3边界，再现CFT的结果。
We show that an extremely generic class of two-dimensional conformal field theories (CFTs) contains a sector described by the Schwarzian theory. This applies to theories with no additional symmetries and large central charge, but does not require a holographic dual. Specifically, we use bootstrap methods to show that in the grand canonical ensemble, at low temperature with a chemical potential sourcing large angular momentum, the density of states and correlation functions are determined by the Schwarzian theory, up to parametrically small corrections. In particular, we compute out-of-time-order correlators in a controlled approximation. For holographic theories, these results have a gravitational interpretation in terms of large, near-extremal rotating BTZ black holes, which have a near horizon throat with nearly AdS 2× S 1 geometry. The Schwarzian describes strongly coupled gravitational dynamics in the throat, which can be reduced to Jackiw-Teitelboim (JT) gravity interacting with a U (1) field associated to transverse rotations, coupled to matter. We match the physics in the throat to observables at the AdS 3 boundary, reproducing the CFT results.