论文标题
量子BMS在同型扁平时期和全息图中的转换
Quantum BMS transformations in conformally flat space-times and holography
论文作者
论文摘要
我们在$ d $ d $二维的Minkowski，（a）DS，$ \ Mathbb {r} \ times s^{d-1} $和$ {\ rm ads ads ads _2 _2 _2 _2 _2 \ times s^{d-d-2} $中定义和研究渐近杀死和保形杀死向量。我们为任意CFT构建相关的量子电荷，并表明它们满足了一个封闭的代数，该代数包括BMS作为子代数（即超级倾斜和超级移动），以及我们称为“超级滴定”的新型转换。我们研究该代数在CFT的希尔伯特空间中的表示，以及通过指出指控获得的有限转化的作用。在ADS/CFT对应关系的背景下，我们在半古典引力中提出了一个散装全息描述，可重现从CFT计算获得的结果。我们讨论了结果对渐近平坦（接近）极端黑洞的量子头发的含义。
We define and study asymptotic Killing and conformal Killing vectors in $d$-dimensional Minkowski, (A)dS, $\mathbb{R}\times S^{d-1}$ and ${\rm AdS}_2\times S^{d-2}$. We construct the associated quantum charges for an arbitrary CFT and show they satisfy a closed algebra that includes the BMS as a sub-algebra (i.e. supertranslations and superrotations) plus a novel transformation we call `superdilations'. We study representations of this algebra in the Hilbert space of the CFT, as well as the action of the finite transformations obtained by exponentiating the charges. In the context of the AdS/CFT correspondence, we propose a bulk holographic description in semi-classical gravity that reproduces the results obtained from CFT computations. We discuss the implications of our results regarding quantum hairs of asymptotically flat (near-)extremal black holes.
