论文标题
天体CFT中的混乱
Chaos in Celestial CFT
论文作者
论文摘要
天体全息图提出了在渐近平坦的时空中的重力散射与生活在天体上的保形场理论之间的双重性。它的词典将无限维度时空对称组与CFT的病房身份联系起来。这些渐近对称性的自发断裂控制了CFT中软扇形的动力学。在这里，我们表明该部门编码表现出最大量子混乱特征的非平凡的逆转效应。推导的一个关键要素是通过径向量化定义的天体CFT的希尔伯特空间的鉴定，并不断加速的Rindler观察者。从散装的角度来看，Rindler颗粒由于冲击波相互作用而改变了观察者地平线，表现出Lyapunov的行为。从边界的角度来看，超级脱极式金矿模式会以诱导超时订购的天体相关器的Lyapunov行为的方式影响天体Virasoro对称性的相关表示。
Celestial holography proposes a duality between gravitational scattering in asymptotically flat space-time and a conformal field theory living on the celestial sphere. Its dictionary relates the infinite dimensional space-time symmetry group to Ward identities of the CFT. The spontaneous breaking of these asymptotic symmetries governs the dynamics of the soft sector in the CFT. Here we show that this sector encodes non-trivial backreaction effects that exhibit characteristics of maximal quantum chaos. A key element in the derivation is the identification of the Hilbert space of celestial CFT, defined through radial quantization, with that of a constantly accelerating Rindler observer. From the point of view of the bulk, Rindler particles exhibit Lyapunov behavior due to shockwave interactions that shift the observer horizon. From the point of view of the boundary, the superrotation Goldstone modes affect the relevant representations of the celestial Virasoro symmetry in a manner that induces Lyapunov behavior of out-of-time-ordered celestial correlators.
