Modave lectures on bulk reconstruction in AdS/CFT
Modave lectures on bulk reconstruction in AdS/CFT
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Modave 关于 AdS/CFT 中批量重建的讲座
DOI：
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发表时间：
2017
期刊：
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通讯作者：
T. Jonckheere
中科院分区：
文献类型：
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作者：
T. Jonckheere
这些课堂讲稿是根据第十三届莫达夫数学物理暑期学校的一系列讲座编写的。我们回顾了Hamilton，Kabat，Lifschytz和L关于在ADS/CFT中从CFT算符重构局部批量算符的构造，并展示了如何从这个定义中恢复批量相关函数。在这些作者工作的基础上，我们已经注意到批量显示出量子纠错性质。我们将讨论张量网络玩具模型来举例说明这些显著的特征。我们将讨论规范不变性和微分同态对称在批量算符重构中的作用。最后，我们给出了另一种批量重构的方法，在ADS$3$/CFT$2$中，批量算子建立了交叉帽态。
These lecture notes are based on a series of lectures given at the XIII Modave summer school in mathematical physics. We review the construction due to Hamilton, Kabat, Lifschytz and L"owe for reconstructing local bulk operators from CFT operators in the context of AdS/CFT and show how to recover bulk correlation functions from this definition. Building on the work of these authors, it has been noted that the bulk displays quantum error correcting properties. We will discuss tensor network toy models to exemplify these remarkable features. We will discuss the role of gauge invariance and of diffeomorphism symmetry in the reconstruction of bulk operators. Lastly, we provide another method of bulk reconstruction specified to AdS$_3$/CFT$_2$ in which bulk operators create cross-cap states in the CFT.