标题： 高阶导数AdS$_5$超引力中的视界近区几何和黑洞热力学 显示英文标题

标题： Near-horizon geometries and black hole thermodynamics in higher-derivative AdS$_5$ supergravity

摘要： 高阶导数修正在AdS/CFT对应中使我们能够捕捉对偶CFT的更精细细节，并探索无限N和强耦合极限之外的全息字典。 采用有效场论方法，我们研究了五维超引力中的旋转极端AdS黑洞解，其中包含了高阶导数修正。 我们对旋转极端黑洞的近视界几何进行了普遍分析，并展示了如何获得它们对应的电荷和化学势。 我们讨论了二阶导理论的近视界解，这些解使用了一种新的参数化形式，这简化了我们计算高阶导数修正的过程。 在澄清定义中的歧义的同时，我们计算了黑洞的电荷和热力学性质。 结果表明，电荷和势满足一种近视界版本的第一热力学定律，我们对其解释进行了明确。 在超对称情况下，结果被证明与场论预测以及从规范作用量得到的先前结果相匹配。 显示英文摘要

摘要： Higher-derivative corrections in the AdS/CFT correspondence allow us to capture finer details of the dual CFT and to explore the holographic dictionary beyond the infinite N and strong coupling limits. Following an effective field theory approach, we investigate extremal AdS black hole solutions in five-dimensional supergravity with higher-derivative corrections. We provide a general analysis of near-horizon geometries of rotating extremal black holes and show how to obtain their corresponding charges and chemical potentials. We discuss the near-horizon solutions of the two-derivative theory, which we write using a novel parametrization that eases our computation of the higher-derivative corrections. The charges and thermodynamic properties of the black hole are computed while clarifying the ambiguities in their definitions. The charges and potentials turn out to satisfy a near-horizon version of the first law of thermodynamics whose interpretation we make clear. In the supersymmetric case, the results are shown to match the field theory prediction as well as previous results obtained from the on-shell action.