Exact black hole degeneracies and the topological string
Exact black hole degeneracies and the topological string
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精确的黑洞简并性和拓扑弦
DOI：
10.1088/1126-6708/2006/04/034
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发表时间：
2005
影响因子：
5.4
通讯作者：
Xi Yin
中科院分区：
文献类型：
--
作者：
D. Shih;Xi Yin
受最近Ooguri，Strominger和Vafa猜想的启发，我们计算了BPS黑洞在= 4和= 8弦理论中的半正则配分函数，以及微扰论中的所有阶数.黑洞配分函数不仅出奇地简单，而且它们捕捉到了完整的拓扑弦振幅，正如OSV猜想所预期的那样。然而，这种一致并不完美，因为即使在微扰水平上，黑洞和拓扑弦配分函数之间也存在差异。我们提出了一个最小的修改OSV猜想，其中这些差异被理解为一个非平凡的测量因素的拓扑字符串。
Motivated by the recent conjecture of Ooguri, Strominger and Vafa, we compute the semi-canonical partition function of BPS black holes in = 4 and = 8 string theories, to all orders in perturbation theory. Not only are the black hole partition functions surprisingly simple; they capture the full topological string amplitudes, as expected from the OSV conjecture. The agreement is not perfect, however, as there are differences between the black hole and topological string partition functions even at the perturbative level. We propose a minimal modification of the OSV conjecture, in which these differences are understood as a nontrivial measure factor for the topological string.