论文标题
广告中高衍生超级重力的不合理有效性$ _4 $全息图
The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS$_4$ Holography
论文作者
论文摘要
我们研究了四维$ \ mathcal {n} = 2 $最小测量超级重力的四维校正，并表明它们由两个真实常数控制。两源性理论中运动方程的解并未通过更高的校正来改变。我们使用它来为任何渐近的本地广告$ _4 $解决方案提供一个常规化壳动作的通用公式，并显示高衍生校正如何以通用方式影响黑洞热力学数量。我们在全息图的背景下采用了我们的结果，从而在大型$ n $扩展超对称分区功能的各种紧凑型歧管上的大型$ n $扩展中为大型三维scfts提供了明确的表达式。
We study four-derivative corrections to four-dimensional $\mathcal{N}=2$ minimal gauged supergravity and show that they are controlled by two real constants. The solutions of the equations of motion in the two-derivative theory are not modified by the higher-derivative corrections. We use this to derive a general formula for the regularized on-shell action for any asymptotically locally AdS$_4$ solution of the theory and show how the higher-derivative corrections affect black hole thermodynamic quantities in a universal way. We employ our results in the context of holography to derive explicit expressions for the subleading corrections in the large $N$ expansion of supersymmetric partition functions on various compact manifolds for a large class of three-dimensional SCFTs.
