AdS紧缩、CFT下降和宇宙学互补性
AdS Crunches, CFT Falls And Cosmological Complementarity
摘要：
我们讨论的全息描述的挤压AdS宇宙学的方面。我们认为，crunching FRW模型的双曲空间部分是对偶的变形德西特CFTs的半经典凝聚。具有明确定义的能量标度的De Sitter不变凝聚由有效的负定相关或边缘算子引起，这可能会或可能不会使CFT不稳定。我们通过显式构建该模型的“互补映射”来找到这一结果，该映射是通过将de Sitter CFT保角变换到静态时间框架中来给出的，它将紧缩揭示为有限时间内的无限势能下降。我们表明，相当一般地，紧缩是与一个有限质量的黑洞，如果德西特O（d，1）-不变性是一个偶然的IR对称性，分解到U（1）xO（d）在紫外线。任何这样的正则化都切断了德西特时空的永恒性。等价地，传播到紧缩的希尔伯特空间的维数只有在德西特不是永恒的时候才是有限的。
英文摘要：
We discuss aspects of the holographic description of crunching AdS cosmologies. We argue that crunching FRW models with hyperbolic spatial sections are dual to semiclassical condensates in deformed de Sitter CFTs. De Sitter-invariant condensates with a sharply defined energy scale are induced by effective negative-definite relevant or marginal operators, which may or may not destabilize the CFT. We find this result by explicitly constructing a `complementarity map' for this model, given by a conformal transformation of the de Sitter CFT into a static time-frame, which reveals the crunch as an infinite potential-energy fall in finite time. We show that, quite generically, the crunch is associated to a finite mass black hole if the de Sitter O(d,1)-invariance is an accidental IR symmetry, broken down to U(1)xO(d) in the UV. Any such regularization cuts off the eternity of de Sitter space-time. Equivalently, the dimension of the Hilbert space propagating into the crunch is finite only when de Sitter is not eternal.
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