Decoding the hologram: Scalar fields interacting with gravity
Decoding the hologram: Scalar fields interacting with gravity
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解码全息图：标量场与重力相互作用
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
G. Lifschytz
中科院分区：
文献类型：
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作者：
D. Kabat;G. Lifschytz
我们构造了弥散的 CFT 算子，它代表了 AdS 中与重力相互作用的标量场。指导原则是微观因果关系：标量场应该以类似空间的间隔与自身交换。对于 O(1/N)，我们证明构造适当的 CFT 算子的正确且方便的标准是要求具有边界 Weyl 张量和另一个边界标量的三点函数中的微观因果关系。由此产生的批量可观测量在 AdS 等距下以正确的方式进行变换，并在类空间分离下与边界标量算子进行交换，即使存在度量扰动也是如此。
We construct smeared CFT operators which represent a scalar field in AdS interacting with gravity. The guiding principle is micro-causality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a correct and convenient criterion for constructing the appropriate CFT operators is to demand micro-causality in a three-point function with a boundary Weyl tensor and another boundary scalar. The resulting bulk observables transform in the correct way under AdS isometries and commute with boundary scalar operators at spacelike separation, even in the presence of metric perturbations.