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arXiv 2402.02215hep-th
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高阶导数AdS$_5$超引力中的近视界几何与黑洞热力学

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

Pablo A. Cano, Marina David

AI总结:

该研究采用有效场论方法,分析五维高阶导数超引力中旋转极端AdS黑洞的近视界几何,厘清荷的定义歧义并计算其热力学性质,验证了近视界热力学第一定律,且超对称情形下的结果与场论及此前在壳作用量结果一致。

摘要:

AdS/CFT对应中的高阶导数修正使我们能够捕捉对偶CFT的更精细细节,并探索超出大N极限和强耦合极限的全息字典。我们采用有效场论方法,研究了带高阶导数修正的五维超引力中的极端AdS黑洞解。我们对旋转极端黑洞的近视界几何进行了一般分析,并说明了如何获取其对应的荷和化学势。我们讨论了二阶导数理论的近视界解,采用一种便于计算高阶导数修正的新型参数化形式来表述这些解。我们在厘清荷定义中存在的歧义的同时,计算了黑洞的荷和热力学性质。结果表明,这些荷和势满足热力学第一定律的近视界版本,我们阐明了其物理诠释。在超对称情形下,所得结果与场论预测以及此前通过在壳作用量得到的结果相符。

英文摘要:

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.

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