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arXiv 0707.0964hep-th
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黑洞势及其临界点的4d/5d对应

4d/5d Correspondence for the Black Hole Potential and its Critical Points

A. Ceresole, S. Ferrara, A. Marrani

摘要:

我们用d=5的实特殊几何数据表示了d=4,N=2的黑洞对立方全纯F函数和一般双子荷的有效势.由5d临界点计算出4d临界点,并阐明了它们之间的关系。对于对称空间,我们确定BPS和非BPS类的吸引子和各自的熵。这些都是由简单的公式,插值之间的四个和五个维度,取决于体积模量和4D磁(或电)电荷,并保持真实的通用场配置和非对称立方几何形状。

英文摘要:

We express the d=4, N=2 black hole effective potential for cubic holomorphic F functions and generic dyonic charges in terms of d=5 real special geometry data. The 4d critical points are computed from the 5d ones, and their relation is elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of attractors and the respective entropies. These are related by simple formulae, interpolating between four and five dimensions, depending on the volume modulus and on the 4d magnetic (or electric) charges, and holding true also for generic field configurations and for non-symmetric cubic geometries.

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