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arXiv 0906.0591hep-th
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未弯曲的、分解的、变形的锥状结构:五膜和克列巴诺夫-斯特拉斯勒理论的重子分支

The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory

Juan Maldacena, Dario Martelli

摘要:

我们研究了一个对应于五个膜包裹在$S^2$上的解析锥的引力解。通过改变一个参数,该解在带通量的变形锥和带膜的分解锥之间连续插值。因此,它显示了一个几何过渡,纯粹是在超引力的背景下。该解是扭转几何的一个简单例子,可以被认为是圆锥形的非凯勒模拟。通过U-对偶变换,我们可以添加D3膜电荷,并恢复最初由Butti等人导出的形式的解。这描述了Klebanov-Strassler理论的重子分支。沿着重子分支,场论产生了一个模糊的双球。这对应于在引力解中,D5膜包裹着解析锥的两个球面。

英文摘要:

We study a gravity solution corresponding to fivebranes wrapped on the $S^2$ of the resolved conifold. By changing a parameter the solution continuously interpolates between the deformed conifold with flux and the resolved conifold with branes. Therefore, it displays a geometric transition, purely in the supergravity context. The solution is a simple example of torsional geometry and may be thought of as a non-Kähler analog of the conifold. By U-duality transformations we can add D3 brane charge and recover the solution in the form originally derived by Butti et al. This describes the baryonic branch of the Klebanov-Strassler theory. Far along the baryonic branch the field theory gives rise to a fuzzy two-sphere. This corresponds to the D5 branes wrapping the two-sphere of the resolved conifold in the gravity solution.

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