We study four-derivative corrections to four-dimensional $𝒩=2$ minimal gauged supergravity 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.

中文翻译：

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高导数超重力在AdS4全息术中的不合理有效性

我们研究四维的四阶导数校正 $𝒩=2$由两个实常数控制的最小规范超重力。二阶导数理论中运动方程的解没有被高阶导数校正所修正。我们用它来为任何渐近局部AdS的正规化壳作用导出一个通用公式${}_4$解决方案，并说明高导数校正如何以通用方式影响黑洞热力学量。我们在全息术中运用我们的结果，为大范围的次导校正得出明确的表达式。$ñ$ 大型三维SCFT的各种紧凑流形上超对称分配函数的扩展。