论文标题
从2D CFT的黑洞准模式校正有限温度
Finite temperature corrections to black hole quasinormal modes from 2D CFT
论文作者
论文摘要
我们重新审视标量探针扰动的BTZ黑洞的衰减模式的全息计算。我们在圆环的两个点功能上进行了有限的温度膨胀，大中央电荷$（c）$ cfts，以获取对黑孔准模式的校正。我们在真空上方的最轻的主要原理的贡献，尺寸$Δ_χ$，上限为$ c/6 $，在圆环两个点功能中。我们利用圆环上2D CFT的模块化特性，以在高温下在高温下将热两个点功能的表达连接起来。校正项可以表示为Riemann Sphere上的四点函数。在双重散装理论中，由于时空中的光磁场和重力，预计将出现校正。在全息限制中，该校正项的效果在黑洞温度的变化中编码。这导致了新的准模式和热度时间尺度的修改。
We revisit the holographic calculation of the decay modes of the BTZ blackhole perturbed by a scalar probe. We carry out a finite temperature expansion of the torus two point function of large central charge $(c)$ CFTs in order to obtain the corrections to blackhole quasinormal modes. We take the contribution of the lightest primary above the vacuum, with dimension $Δ_χ$ and upper bound of $c/6$, in the torus two point function. We exploit the modular properties of 2D CFT on the torus to connect the expression of thermal two point function at high temperature with the same at low temperature. The correction term can be expressed as a four point function on the Riemann sphere. In the dual bulk theory the corrections are expected to arise due to the presence of a light matter field in the spacetime along with gravity. In the holographic limit the effects of this correction term is encoded in the change in blackhole temperature. This leads to new quasinormal modes and modification of thermalization time scale.
