论文标题
将Syk映射到天空
Mapping SYK to the Sky
论文作者
论文摘要
4D渐近时空中重力的红外行为表现出丰富的对称性。这导致了引力$ \ MATHCAL {S} $ - 矩阵与生活在天体球体上的双野战理论之间提出的全息二元性。我们目前对词典的大多数理解都依赖于4D批量的知识。因此，识别捕获正确对称性的固有2D模型和4D重力的软动力学是一个感兴趣的活跃区域。在这里，我们建议SYK的2D概括为4D渐近平稳时段中重力扇区的软限制提供了一种有指导的玩具模型。我们发现2D SYK模型的对称性和软动力学捕获了天体理论的显着特征：表现出混乱的动力学，保形不变性和$ W_ {1+ \ infty} $对称性。全息图从2D SYK操作员到4D散装，采用了Penrose Twistor变换。
The infrared behavior of gravity in 4D asymptotically flat spacetime exhibits a rich set of symmetries. This has led to a proposed holographic duality between the gravitational $\mathcal{S}$-matrix and a dual field theory living on the celestial sphere. Most of our current understanding of the dictionary relies on knowledge of the 4D bulk. As such, identifying intrinsic 2D models that capture the correct symmetries and soft dynamics of 4D gravity is an active area of interest. Here we propose that a 2D generalization of SYK provides an instructive toy model for the soft limit of the gravitational sector in 4D asymptotically flat spacetime. We find that the symmetries and soft dynamics of the 2D SYK model capture the salient features of the celestial theory: exhibiting chaotic dynamics, conformal invariance, and a $w_{1+\infty}$ symmetry. The holographic map from 2D SYK operators to the 4D bulk employs the Penrose twistor transform.
