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arXiv 1102.1734hep-th
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关于Klebanov-Strassler理论中亚稳真空的引力对偶

On gravity dual of a metastable vacuum in Klebanov-Strassler theory

Anatoly Dymarsky

摘要:

我们讨论的超引力描述的亚稳态,是由一堆反D3膜放置在尖端的KS背景。当反D3-膜的个数p很大g_sp>> 1时,相应的引力对偶的特征曲率在弦单位上很大,人们可以期望背景处处正则。从距针尖的R ~(gsp)^{1/4}阶距离出发,新的背景可以用KS附近的线性扰动很好地近似。通过在IR和UV中应用适当的边界条件,我们找到了相应的线性微扰的最低KK模式。我们发现的解决方案包含的SU(2)× SU(2)不变的运营商在p的线性顺序的VEV。作为一个非平凡的检查,我们计算的ADM质量完全匹配的探针近似。作为一个副产品,我们还发现了一个与KS理论对偶的重力背景,它被具有小系数的算子W^2和W^2 \bar{W}^2变形。

英文摘要:

We discuss a supergravity description of the metastable state that is created by a stack of anti-D3-branes placed at the tip of the KS background. When the number p of the anti-D3-branes is large g_s p >> 1 the characteristic curvature of the corresponding gravity dual is large in stringy units and one may expect the background to be regular everywhere. Starting from the distances of order R ~ (g_s p)^{1/4} away from the tip the new background can be well approximated by a linear perturbation around KS. By applying the appropriate boundary conditions in both IR and UV we found the lowest KK mode of the corresponding linear perturbation. The solution we found contains VEVs of the SU(2)x SU(2) invariant operators at the linear order in p. As a non-trivial check we calculate the ADM mass which exactly matches the probe approximation. As a byproduct we also found a gravity background dual to the KS theory deformed by the operators W^2 and W^2\bar{W}^2 with small coefficients.

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