论文标题
实时重力复制品：形式主义和变分原理
Real-time gravitational replicas: Formalism and a variational principle
论文作者
论文摘要
这项工作是对实时复制虫洞进行两部分调查的第一步。在这里，我们研究相关的实时重力路径积分，并构建将定义其鞍点的变异原理。我们还描述了由此产生的实时复制品虫洞马鞍的一般结构，为构建明确的例子奠定了基础。这些马鞍必然涉及复杂的指标，因此可以通过变形集成的原始轮廓来访问。但是，这些马鞍的构建不必依赖于分析延续，即使在存在非分析边界来源的情况下，我们的配方也可以使用。此外，至少对于复制和CPT对称的马鞍，我们表明，在与所谓的“分裂表面”分离的区域中，该指标可能被认为是真实的。此功能是二元二元组中单位性的重要标志。
This work is the first step in a two-part investigation of real-time replica wormholes. Here we study the associated real-time gravitational path integral and construct the variational principle that will define its saddle-points. We also describe the general structure of the resulting real-time replica wormhole saddles, setting the stage for construction of explicit examples. These saddles necessarily involve complex metrics, and thus are accessed by deforming the original real contour of integration. However, the construction of these saddles need not rely on analytic continuation, and our formulation can be used even in the presence of non-analytic boundary-sources. Furthermore, at least for replica- and CPT-symmetric saddles we show that the metrics may be taken to be real in regions spacelike separated from a so-called `splitting surface'. This feature is an important hallmark of unitarity in a field theory dual.
