论文标题
WGC和流体动力学的相关性与$ r^4 $校正在充电广告中$ _ {D+2} $ Black Brane
The correlation of WGC and Hydrodynamics bound with $R^4$ correction in the charged AdS$_{d+2}$ black brane
论文作者
论文摘要
在本文中，我们关注猜想的KSS结合与弱重力猜想（WGC）之间的可能相关性。流体动力值KSS结合和弱重力构约束低能量有效场理论。这些猜想确定了紫外线的完整理论。我们对相应的动作进行四个，六和八阶派生校正，并采用违反带电的广告$ _ {d+2} $黑色brane解决方案的高度缩放。这些校正使我们发现KSS结合与弱重力猜想之间的相关性。我们看到，随着扰动校正的增加，这种相关更有可能出现。我们考虑动态常数$ z = 1 $，$ d = 5 $，并获得了上述黑色brane的超级违规指数$ d+d+z-2 \leqθ\ leq leq d+z-1 $。在这里，我们表明，较高的衍生校正将$ \ frac {m} {q} $与极端黑洞的比率降低。同样，我们还获得了通用放松$τ\ geq \ frac {1} {πt} $和kss绑定$ \fracη{s} \ geq \ geq \ frac {1} {4π} $ for我们的模型。结果表明，这两个猜想之间存在关系。我们的研究还表明，所有校正（曲率固定除外，$β_2$除外）在极端和近乎超级条件下的WGC和KSS结合的猜想的一致性。
In this paper, we focus on the possible correlation between conjectures KSS bound and weak gravity conjecture (WGC). The hydrodynamic values KSS bound and weak gravity conjecture constraint the low-energy effective field theory. These conjectures identify UV complete theories. We give four, six and eight order derivative corrections to corresponding action and employ the hyperscaling violating charged AdS$_{d+2}$ black brane solution. These corrections lead us to find correlation between conjectures KSS bound and weak gravity conjecture. We see that, with increasing perturbation correction, this correlation is more likely to appear. We consider dynamical constant $z=1$, $d=5$ and obtain the range of hyperscaling violation exponent $d+z-2\leqθ\leq d+z-1$ for the above mentioned black brane. Here, we show that higher derivative corrections reduce the ratio of $\frac{M}{Q}$ to extremal black holes. Likewise, we also obtain the universal relaxation bound $τ\geq \frac{1}{πT}$ and KSS bound $\fracη{s}\geq \frac{1}{4π}$ for our model. The results indicate that there is a possibility of a relationship between the two conjectures. Our studies also show the consistency of the WGC and the KSS bound conjectures for all corrections (except curvature-cubed, $β_2$) in the extremal and near-extremal condition.
