论文标题
2+1维度的封闭切片上的全息宇宙学
Holographic Cosmology on Closed Slices in 2+1 Dimensions
论文作者
论文摘要
我们将Cauchy Slice全息图的框架应用于用$λ> 0 $的封闭切片上的重力（重点介绍$ 2+1 $的尺寸以进行具体性）。我们在CPT双分支的基础上获得了Wheeler-Dewitt方程的解决方案。每个分支都是带有虚构中央电荷的$ T^2 $成型的CFT分区功能。我们以$ 2+1 $尺寸计算MinisuperSpace纯重力模型的明确解决方案。该分析为我们提供了证据，可以猜测分支叠加的选择与在重力路径积分中的几何形状选择之间的选择之间的联系。我们进一步表明，尽管欧几里得全息场理论并非反射阳性，但在封闭切片上的全量子重力中，散装单位性仍然保持。根据这种分析，我们猜想了宇宙量子状态的（非）唯一性。
We apply the framework of Cauchy Slice Holography to the quantization of gravity on closed slices with $Λ>0$ (with a focus on $2+1$ dimensions for concreteness). We obtain solutions to the Wheeler-DeWitt equation in a basis of CPT-dual branches. Each branch is a $T^2$-deformed CFT partition function with imaginary central charge. We compute explicit solutions in $2+1$ dimensions in a minisuperspace toy model of pure gravity. This analysis gives us evidence to conjecture a connection between the choice of superposition of branches and the choice of class of geometries to sum over in the gravitational path integral. We further show that, in full quantum gravity on closed slices, bulk unitarity holds, despite the Euclidean holographic field theory not being reflection-positive. We conjecture about the (non)uniqueness of the quantum state of the Universe, in light of this analysis.
