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arXiv 2012.13285hep-thgr-qc
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orbifold ${\mathbb C}^n/{\mathbb Z}_n$上的分数黑色$p$ -膜

Fractional black $p$-branes on orbifold ${\mathbb C}^n/{\mathbb Z}_n$

Muneto Nitta, Kunihito Uzawa

备注：
13 pages, Journal version
发表信息：
JHEP 2103 (2021) 018
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摘要：

最近在解析轨道${\mathbb C}^n/{\mathbb Z}_n$上发现了黑洞的显式解，这使得研究轨道上$p$ -膜的存在性成为可能。特别是，我们有可能以合理的精度验证这样一个预言：在11维${\mathbb C}^4/{\mathbb Z}_4$上的M2-膜和在10维${\mathbb C}^3/{\mathbb Z}_3$上的D3-膜在轨道折叠${\mathbb C}^n/{\mathbb Z}_n$上有一族黑色$p$ -膜。这些解决方案是极端的，并有规则的地平线$S^{2n-1}/{\mathbb Z}_n$没有任何裸奇点，与近地平线几何AdS ${}_{p+2}\times S^{2n-1}/{\mathbb Z}_n$。

英文摘要：

The recent discovery of an explicit solution of a black hole on the resolved orbifold ${\mathbb C}^n/{\mathbb Z}_n$ makes it possible to investigate the existence of $p$-branes on the orbifold. In particular, it is possible with reasonable precision to verify the prediction that an M2-brane on ${\mathbb C}^4/{\mathbb Z}_4$ in eleven dimensions and a D3-brane on ${\mathbb C}^3/{\mathbb Z}_3$ in ten dimensions have a family of black $p$-branes on the orbifold ${\mathbb C}^n/{\mathbb Z}_n$. These solutions are extremal and have regular horizons $S^{2n-1}/{\mathbb Z}_n$ without any naked singularity, with near horizon geometries AdS${}_{p+2}\times S^{2n-1}/{\mathbb Z}_n$.

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