Two-Black-Hole Bound States
Two-Black-Hole Bound States
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两个黑洞束缚态
DOI：
10.1088/1126-6708/2001/03/050
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
A. Volovich
中科院分区：
文献类型：
--
作者：
Ruth A. Britto;A. Strominger;A. Volovich
考虑了五个维度中 $N$ 缓慢移动的 BPS 黑洞的量子力学。发现了描述具有任意小激发能的任意紧密束缚黑洞的发散连续态。超共形结构出现在低能量下，可用于定义计算超对称束缚态的加权数量的指数。结果表明，该指数是根据 $R^4$ 的 $N$ 副本的对称乘积的某些上同调类的维数确定的。对 N=2 且无角动量的情况进行显式计算会产生有限的非零结果。
The quantum mechanics of $N$ slowly-moving BPS black holes in five dimensions is considered. A divergent continuum of states describing arbitrarily closely bound black holes with arbitrarily small excitation energies is found. A superconformal structure appears at low energies and can be used to define an index counting the weighted number of supersymmetric bound states. It is shown that the index is determined from the dimensions of certain cohomology classes on the symmetric product of $N$ copies of $R^4$. An explicit computation for the case of N=2 with no angular momentum yields a finite nonzero result.