论文标题
部分可观测时空混沌系统的无模型预测
$T\bar T + Λ_2$ from a 2d gravity path integral
论文作者
论文摘要
我们开发了$ t \ bar t +λ_2$量子场理论变形的二维重力路径积分公式。这提供了与De Sitter和Flat Space全息相关的纯$ t \ b t $变形的完全可解决的概括。该路径积分阐明了弯曲空间中这些流的量子方面，最著名的是Weyl异常，轨迹的操作员关系以及能量量张量的痕迹以及复合$ t \ bar t $运算符的重新归一化。它也适用于此类流量的Hagedorn和全息迹象。我们介绍了圆环和球形分区函数的明确计算，这些功能在文献中以路径积分语言重现了先前的结果。最后，我们使用路径积分表示，以建立具有3D重力的显式图，并为平面全息图获得新的预测。
We develop a two-dimensional gravity path integral formulation of the $T \bar T + Λ_2$ deformation of quantum field theory. This provides an exactly solvable generalization of the pure $T \bar T$ deformation that is relevant for de Sitter and flat space holography. The path integral sheds light on quantum aspects of these flows in curved space, most notably the Weyl anomaly, the operator relation for the trace of the energy-momentum tensor, and the renormalization of the composite $T \bar T$ operator. It also applies to both the Hagedorn and the holographic signs of such flows. We present explicit calculations for the torus and sphere partition functions that reproduce previous results in the literature, now in path integral language. Finally, we use the path integral representation in order to establish an explicit map with 3d gravity, and obtain new predictions for flat space holography.
