论文标题

$ r^2 $更正的广告$ _2 $全息图

$R^2$ corrected AdS$_2$ holography

论文作者

Aniceto, Pedro, Cardoso, Gabriel Lopes, Nampuri, Suresh

论文摘要

我们解决了在AD $ _2 $ space-Times中构建ADS $ _2 $/CFT $ _1 $通信的AD $ _2 $/CFT $ _1 $通讯的显式全息词典的问题。这些动作是通过$ s^2 $减少的四维$ {\ cal n} = 2 $ Wilsonian有效动作的Weyl Squared互动,仅限于恒定标量背景。 BPS Black Hole接近Horizo​​n空间时间落入这类背景中,并通过识别边界操作员对散装字段的双重操作员,我们明确地展示了BPS黑洞的WALD熵如何在操作员双重变换中的全息编码中,直接编码为合成的散装场。此外,使用2D/3D升降机,我们表明,CFT全息二$ _2 $自然嵌入了CFT $ _2 $ dual dual dual dual dual dual dual dual ods $ _3 $时空,并且我们在CFT $ _1 $中识别cft $ _1 $ cft $ ______________2的特定操作员。

We approach the problem of constructing an explicit holographic dictionary for the AdS$_2$/CFT$_1$ correspondence in the context of higher derivative gravitational actions in AdS$_2$ space-times. These actions are obtained by an $S^2$ reduction of four-dimensional ${\cal N}=2$ Wilsonian effective actions with Weyl squared interactions restricted to constant scalar backgrounds. BPS black hole near-horizon space-times fall into this class of backgrounds, and by identifying the boundary operators dual to the bulk fields, we explicitly show how the Wald entropy of the BPS black hole is holographically encoded in the anomalous transformation of the operator dual to a composite bulk field. Additionally, using a 2d/3d lift, we show that the CFT holographically dual to AdS$_2$ is naturally embedded in the chiral half of the CFT$_2$ dual to the AdS$_3$ space-time, and we identify the specific operator in CFT$_1$ that encodes the chiral central charge of the CFT$_2$.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源