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arXiv 1006.3587hep-th
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M-膜与亚稳态

M-Branes and Metastable States

Igor R. Klebanov, Silviu S. Pufu

备注：
33 pages, 5 figures; v2 note added
发表信息：
JHEP 1108:035,2011
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摘要：

我们研究了在arXiv：hep-th/0012011中发现的M理论背景的超对称破缺形变。超对称解是R^{2，1}和8维Stenzel空间的翘曲积，这是变形锥的高维推广。在弯曲的喉部底部有一个4球，由\tilde{M}单元的4形式通量穿过。对偶（2+1）维理论具有一个离散谱。我们在4-球面上的一点上添加p个反M2膜，并证明它们在4-球面上以固定的方位角爆炸成包裹3-球面的M5-膜。当p / \tilde{M} < 0.054时，该超对称破缺态是亚稳态.在描述假真空衰减的M5膜世界体积理论中，我们发现了一个光滑的O（3）对称的欧几里德反弹解。欧几里德作用量的计算表明，亚稳态是非常长的寿命。我们还描述了相应的亚稳态和它们在IIA型背景中的衰减，通过沿R^{2，1}的空间方向之一的还原获得。

英文摘要：

We study a supersymmetry breaking deformation of the M-theory background found in arXiv:hep-th/0012011. The supersymmetric solution is a warped product of R^{2,1} and the 8-dimensional Stenzel space, which is a higher dimensional generalization of the deformed conifold. At the bottom of the warped throat there is a 4-sphere threaded by \tilde{M} units of 4-form flux. The dual (2+1)-dimensional theory has a discrete spectrum of bound states. We add p anti-M2 branes at a point on the 4-sphere, and show that they blow up into an M5-brane wrapping a 3-sphere at a fixed azimuthal angle on the 4-sphere. This supersymmetry breaking state turns out to be metastable for p / \tilde{M} < 0.054. We find a smooth O(3)-symmetric Euclidean bounce solution in the M5-brane world volume theory that describes the decay of the false vacuum. Calculation of the Euclidean action shows that the metastable state is extremely long-lived. We also describe the corresponding metastable states and their decay in the type IIA background obtained by reduction along one of the spatial directions of R^{2,1}.

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