论文标题
更高衍生的校正和广告$ _5 $黑洞
Higher-Derivative Corrections and AdS$_5$ Black Holes
论文作者
论文摘要
利用最新的结果在四衍生5D $ \ MATHCAL {N} = 2 $最小值超级重力中，我们评估了该理论的欧几里得解决方案的正规化壳动作，该理论承认Lorentzian的延续为ADS $ _5 $ _5 $ _5 $ _5 $ _5 $黑洞，带有一个电荷和两个Angular Momenta。我们专注于该解决方案的超对称限制，并采用全息图表明该结果可以纯粹用角动量表达，而$ \ Mathrm {u}（1）_ {\ Mathrm r} $ r-r-Memmetry的$ \ Mathrm {u}（1）_ Mathrm {u}（1）该全息计算与最近对4D $ \ MATHCAL {n} = 1 $ SUPERCON -CON -CON -CON -CONSTER索引````''''的最新研究完全吻合。我们说明了两类4D $ \ MATHCAL {N} = 1 $全息scfts的实用性，这些scfts具有hhoft atmalies具有合适的$ n $行为，在$ 1/n $扩展中首先导致非平凡的校正。我们还明确计算了黑洞溶液的沃尔德熵，并将主要的四个衍生校正描述为Bekenstein-Hawking熵。
Using recent results in four-derivative 5d $\mathcal{N}=2$ minimal gauged supergravity, we evaluate the regularized on-shell action of the Euclidean solution in this theory that admits a Lorentzian continuation to an AdS$_5$ black hole with one electric charge and two angular momenta. We focus on the supersymmetric limit of this solution and employ holography to show that the result can be expressed purely in terms of angular momentum fugacities and the 't Hooft anomalies for the $\mathrm{U}(1)_{\mathrm R}$ R-symmetry of the dual 4d $\mathcal{N}=1$ SCFT. This holographic calculation is in perfect agreement with recent studies of the 4d $\mathcal{N}=1$ superconformal index ``on the second sheet''. We illustrate the utility of these results in two classes of 4d $\mathcal{N}=1$ holographic SCFTs that have 't Hooft anomalies with suitable large $N$ behavior that leads to non-trivial corrections at first subleading order in the $1/N$ expansion. We also explicitly calculate the Wald entropy of the black hole solution and delineate the leading four-derivative corrections to the Bekenstein-Hawking entropy.
