论文标题
$ _5 $ _5 $更高衍生超级热力学的黑洞热力学
Corrections to AdS$_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
论文作者
论文摘要
我们研究了对五维最小测量超重力的四个衍生校正。我们评估了ADS $ _5 $黑洞解决方案的壳体动作，具有两个独立的角动量，并在校正中以线性订单为单位电荷。施加超对称性后，我们能够根据超对称化学电位重塑作用，并匹配从第二张纸上的双重超符号指数获得的结果。为了实现这一目标，我们利用实施现场重新定义的自由来以更简单的形式重新销售该动作，以及两个衍生解决方案就足够的事实。我们使用壳动作来确定对黑洞热力学的校正，包括熵和电荷的校正。然后，我们专门研究超对称性和极端情况，并为微域熵找到一个简单的表达。特别是，对于具有一个独立的角动量的情况，校正完全编码在双重符号异常系数中。我们通过构建校正后的近摩尼子解决方案并应用WALD的公式来证实熵的结果。
We study four-derivative corrections to five-dimensional minimal gauged supergravity. We evaluate the on-shell action of the AdS$_5$ black hole solution with two independent angular momenta and one electric charge at linear order in the corrections. After imposing supersymmetry, we are able to recast the action in terms of the supersymmetric chemical potentials and match the result obtained from the dual superconformal index on the second sheet. To achieve this, we exploit the freedom to implement field redefinitions to recast the action in a much simpler form, as well as the fact that the two-derivative solution is enough. We use the on-shell action to determine the corrections to the black hole thermodynamics, including those to the entropy and the charges. We then specialize to the supersymmetric and extremal case and find a simple expression for the microcanonical entropy. In particular, for the case with one independent angular momentum the corrections are entirely encoded in the dual superconformal anomaly coefficients. We corroborate this result for the entropy by constructing the corrected near-horizon solution and applying Wald's formula.
