论文标题

巨大的逃生:从微晶格几何形状中隧穿

The Great Escape: Tunneling out of Microstate Geometries

论文作者

Bena, Iosif, Eperon, Felicity, Heidmann, Pierre, Warner, Nicholas P.

论文摘要

我们计算在渐近的微晶格几何形状中标量的准正常频率,这些几何形状具有与D1-D5-P黑洞相同的电荷,但其长的BTZ样喉咙以光滑的盖子结束。通常,波方程不是可分离的,但是我们发现一类几何形状,其中不可分割的项可以忽略不计,我们可以使用WKB方法计算准正常频率。我们认为,我们的结果是所有微晶格几何的通用特性,这些几何形状具有深层btz喉咙。这些喉咙产生了大型红移,从而导致极低的能量状态具有极长的衰减时间,这是由双CFT的中央电荷设定的,其功率是操作员双重尺寸到模式的两倍。尽管这些衰减时间非常长,但我们还认为,能量衰减在$ t $上是$(log〜t)^{ - 2} $的界限,并且与超级恒星的行为相媲美,就像人们对微层面几何形状所期望的那样。

We compute the quasi-normal frequencies of scalars in asymptotically-flat microstate geometries that have the same charge as a D1-D5-P black hole, but whose long BTZ-like throat ends in a smooth cap. In general the wave equation is not separable, but we find a class of geometries in which the non-separable term is negligible and we can compute the quasi-normal frequencies using WKB methods. We argue that our results are a universal property of all microstate geometries with deeply-capped BTZ throats. These throats generate large redshifts, which lead to exceptionally-low-energy states with extremely long decay times, set by the central charge of the dual CFT to the power of twice the dimension of the operator dual to the mode. While these decay times are extremely long, we also argue that the energy decay is bounded, at large $t$, by $(log~t)^{-2}$ and is comparable with the behavior of ultracompact stars, as one should expect for microstate geometries.

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