论文标题
$ \ mathbf {{\ cal n} = 2} $ supersymmetric jackiw-teitelboim重力中的lyapunov指数
Lyapunov exponents in $\mathbf{{\cal N}=2}$ supersymmetric Jackiw-Teitelboim gravity
论文作者
论文摘要
我们研究$ \ Mathcal {n} = 2 $ Supersympersymmetric jackiw-teitelboim（JT）在有限温度下的重力耦合到重要。该物质字段与ADS/CFT二元性与超符合初选有关。由于SCFT对偶中的超级恢复不变性破裂，因此对超符号相关器进行了更正。这些是通过交换超级施法兹模式而生成的，这是对2D超级重力模式的交换双重的。我们将校正校正为超符合初步的四点函数，并分析超时订购的相关器的行为。特别是，考虑了两对具有相互消失的两点函数的两对的四对函数。通过将相应的Supermultiplet分解为其组件，我们发现了不同的Lyapunov指数。 Lyapunov指数的值取决于校正是由于Graviton，Gravitini或Raverphoton交换而引起的。如果相互的两点函数并不消失，所有组件都会随着最大的lyapunov指数而生长。
We study $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim (JT) gravity at finite temperature coupled to matter. The matter fields are related to superconformal primaries by AdS/CFT duality. Due to broken super reparametrisation invariance in the SCFT dual, there are corrections to superconformal correlators. These are generated by the exchange of super-Schwarzian modes which is dual to the exchange of 2D supergravity modes. We compute corrections to four-point functions for superconformal primaries and analyse the behaviour of out-of-time-ordered correlators. In particular, four-point functions of two pairs of primaries with mutually vanishing two-point functions are considered. By decomposing the corresponding supermultiplet into its components, we find different Lyapunov exponents. The value of the Lyapunov exponents depends on whether the correction is due to graviton, gravitini or graviphoton exchange. If mutual two-point functions do not vanish all components grow with maximal Lyapunov exponent.
