论文标题

JT重力从3D渐近平坦时期的全息降低。

JT gravity from holographic reduction of 3D asymptotically flat spacetime

论文作者

Bhattacharjee, Arindam, Saha, Muktajyoti

论文摘要

我们试图通过减小尺寸的缩小来理解平面时空的CFT $ _1 $结构(2+1)d重力。我们观察到,在超级射击下,双曲线(和ds $ _2 $)的平坦时空转换为渐近(a)ds $ _2 $切片。我们考虑一个楔形区域,构成了两个这样的表面,例如世界末日的麸皮,并采用楔形全息图进行全息降低。我们表明,一旦考虑了波动的麸皮,对麸皮的局部理论是jackiw-teitelboim(JT)理论。最后,使用JT的双重描述,我们在空的无穷大的空间切片中得出了一维施瓦茨的理论。在这个双重天体(几乎)CFT中,3D的超级启动模式在边界时间再覆盖模式的Schwarzian衍生物中起作用。

We attempt to understand the CFT$_1$ structure underlying (2+1)D gravity in flat spacetime via dimensional reduction. We observe that under superrotation, the hyperbolic (and dS$_2$) slices of flat spacetime transform to asymptotically (A)dS$_2$ slices. We consider a wedge region bounded by two such surfaces as End-of-the-World branes and employ Wedge holography to perform holographic reduction. We show that once we consider fluctuating branes, the localised theory on the branes is Jackiw-Teitelboim (JT) theory. Finally, using the dual description of JT, we derive an 1D Schwarzian theory at the spatial slice of null infinity. In this dual Celestial (nearly) CFT, the superrotation mode of 3D plays the role of the Schwarzian derivative of the boundary time reparametrization mode.

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