The backreaction of anti-M2 branes on a warped Stenzel space
The backreaction of anti-M2 branes on a warped Stenzel space
复制标题
扭曲 Stenzel 空间上抗 M2 膜的逆反应
DOI：
10.1007/jhep04(2011)120
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发表时间：
2010
影响因子：
5.4
通讯作者：
Nick Halmagyi
中科院分区：
文献类型：
--
作者：
I. Bena;G. Giecold;Nick Halmagyi
我们找到了Cvetiffy，Gibbons，Lü和Pope在hep-th/0012011中发现的支配横Stenzel空间的超对称弯曲M理论解的超势，并利用这个超势提取和求解了该空间中反M2膜堆的一阶反反应解所对应的12个耦合方程.这些反M2膜最近由Klebanov和Pufu在探测近似中进行了分析，他们证明它们应该与超对称2 + 1维理论的亚稳真空对偶。我们发现这种亚稳真空的超引力对偶必须具有红外奇异性，并讨论了这种奇异性是否可以接受。考虑到在Klebanov-Strassler解中放置反D3膜时会出现类似的奇点，我们的工作加强了反膜在弯曲喉部不会产生亚稳真空的可能性。
We find the superpotential governing the supersymmetric warped M-theory solution with a transverse Stenzel space found by Cvetič, Gibbons, Lü and Pope in hep-th/0012011, and use this superpotential to extract and solve the twelve coupled equations underlying the first-order backreacted solution of a stack of anti-M2 branes in this space. These anti-M2 branes were analyzed recently in a probe approximation by Klebanov and Pufu, who conjectured that they should be dual to a metastable vacuum of a supersymmetric 2 + 1 dimensional theory. We find that the would-be supergravity dual to such a metastable vacuum must have an infrared singularity and discuss whether this singularity is acceptable or not. Given that a similar singularity appears when placing anti-D3 branes in the Klebanov-Strassler solution, our work strengthens the possibility that anti-branes in warped throats do not give rise to metastable vacua.