arXiv 0910.55962009-10hep-th

N=4拓扑振幅与黑洞熵

N=4 Topological Amplitudes and Black Hole Entropy

I. Antoniadis, S. Hohenegger

备注：: 33 pages, references added, section 3.3 added
发表信息：: Nucl.Phys.B837:61-89,2010
DOI：: 10.1016/j.nuclphysb.2010.04.026

摘要：

研究了N=4拓扑弦振幅对黑洞熵的影响。我们分析了与六阶导数项相关的主要贡献，并找到了一个特殊的算子，它可以校正N=4个黑洞的熵。这个算符是类BPS的，出现在第二类弦论对K3 × T^2的有效作用量中，或者等价地出现在它对T^6的杂化对偶中。在这两种描述中，领先的贡献出现在一个循环，我们明确计算的杂种优势的一面。然后，我们考虑是否有任何后果（大）N=4黑洞的熵，并发现它确实作出了贡献，在subleading顺序。在经典水平上对视界面积为零的小黑洞重复计算，证明了这种耦合提升了熵函数中的某些平坦方向，从而导致了某些模场的吸引子方程.

英文摘要：

We study the effects of N=4 topological string amplitudes on the entropy of black holes. We analyse the leading contribution associated to six-derivative terms and find one particular operator which can correct the entropy of N=4 black holes. This operator is BPS-like and appears in the effective action of type II string theory on K3 x T^2 or equivalently its heterotic dual on T^6. In both descriptions the leading contribution arises at one-loop, which we calculate explicitly on the heterotic side. We then consider whether this term has any consequences for the entropy of (large) N=4 black holes and find that it makes indeed a contribution at subleading order. Repeating the computation for small black holes with vanishing horizon area at the classical level, we prove that this coupling lifts certain flat directions in the entropy function thereby being responsible for the attractor equations of some moduli fields.

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