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arXiv 0812.3572hep-th
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五维规范超引力中具有高阶导数的黑洞

Black holes in five-dimensional gauged supergravity with higher derivatives

Sera Cremonini, Kentaro Hanaki, James T. Liu, Phillip Szepietowski

摘要:

我们研究五维$\mathcal N=2$规范超引力,包括四个衍生物的条款。这些附加项对应于$R^2$的超对称完成,并且最初在hep-th/0611329中使用共形超重力技术获得。在这里,我们整合出辅助场,并获得了壳上的作用量的最小超引力与这样的修正。然后,我们构造$R$荷电AdS黑洞的四个导数项的线性顺序,并研究这些修正对其物理性质的影响。最后,我们用全息反常匹配将四阶导数修正的几何系数与规范理论数据联系起来。这使我们能够获得解的熵的微观表达式。

英文摘要:

We examine five-dimensional $\mathcal N=2$ gauged supergravity including terms up to four derivatives. These additional terms correspond to the supersymmetric completion of $R^2$, and were originally obtained in hep-th/0611329 using conformal supergravity techniques. Here we integrate out the auxiliary fields and obtain the on-shell action for minimal supergravity with such corrections. We then construct $R$-charged AdS black holes to linear order in the four derivative terms and investigate the effect of these corrections on their thermodynamical properties. Finally, we relate the geometrical coefficients governing the four-derivative corrections to gauge theory data using holographic anomaly matching. This enables us to obtain a microscopic expression for the entropy of the solutions.

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