By studying global AdS using different foliations, global and Rindler-AdS, we show that there are two different asymptotic Fefferman-Graham expansions possible and thus two different definitions of "boundaries". We demonstrate that imposing boundary conditions on the two boundaries is not mutually compatible even when these boundaries are pushed to infinity. Thus, these two procedures define two genuinely distinct theories that we call global-CFT and Rindler-CFT. We show that the Rindler-CFT is not the same as the theory one gets by "Rindlerizing the global-CFT" as described in hep-th/9804085. We conjecture that the Rindler theory is incapable of capturing the dynamics inside the horizon and discuss its implications for the BTZ-CFT duality proposed in hep-th/0106112.
$P-V$ Criticality of Conformal Gravity Holography in Four Dimensions
{We examine the critical behaviour i. e. $P-V$ criticality of conformal gravity~(CG) in an extended phase space in which the cosmological constant should be interpreted as a thermodynamic pressure and the corresponding conjugate quantity as a thermodynamic volume.} The main potential point of interest in CG is that there exists a {non-trivial} \emph{Rindler parameter ($a$)} in the {spacetime geometry. This geometric parameter has an important role to construct a model for gravity at large distances where the parameter " $a$ " actually originates}. We also investigate the effect of the said par…
The Baby Universe is Fine and the CFT Knows It: On Holography for Closed Universes
Leinweber Institute for Theoretical Physics and Department of Physics, University of California, Berkeley（加州大学伯克利分校莱因韦伯理论物理研究所和物理系）；Martin Fisher School of Physics, Brandeis University（布兰迪斯大学马丁费舍尔物理学院）；Department of Physics and Astronomy, University of British Columbia（不列颠哥伦比亚大学物理与天文学系）
Bulk metric reconstruction from boundary entanglement
全息术中的\emph{bulk reconstruction program}的大部分文献都集中在恢复准局域体几何上传播的局域体算子上，并且体几何的知识总是假设或猜测的。体重构程序的基本问题，即从边界CFT态的\emph{recovering the bulk background geometry (metric)}，仍然是突出的。在这项工作中，我们制定了一个配方，以提取体积度量本身的边界状态，具体地说，模块化的边界中的球形子区域的哈密顿信息。我们的方法利用Kabat和Lifschytz \cite{Kabat:2017mun}的最新构造，首先直接在CFT中计算标量场的体两点函数，而不需要体度量或运动方程的知识，然后采用大尺度尺寸限制（WKB）来提取体中两个接近点之间的测地距离，即度量。作为一个证明的原则，我们考虑三维体和选定的CFT状态，如真空和热场双态。我们表明，它们确实再现了纯AdS和Rindler楔和BTZ黑洞\emph{up to a rigid conformal factor}以外的区域。由于我们的方法不依赖于CFT态的对称性，它可以被应用于重建渐近AdS几何对偶任意一般CFT态提供的模块化的哈密顿量是可用的。我们讨论了几个明显的扩展的情况下，更高的时空维度以及一些未来的应用，特别是，用于构建度量超越因果楔的边界区域。在这个过程中，我们还扩展了\cite{Kabat…
