Brane webs and 1/4-BPS geometries
Brane webs and 1/4-BPS geometries
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DOI：
10.1088/1126-6708/2008/09/028
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发表时间：
2008-02
影响因子：
5.4
通讯作者：
O. Lunin
中科院分区：
文献类型：
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作者：
O. Lunin
我们讨论了保留八个增压的膜网，并推导了它们产生的几何形状。超重力的一致性条件对源的位置提出了一定的要求，并且这些限制被发现与探测分析的结果完全一致。特别是，描述 (p,q) 刺的 IIB SUGRA 解是不一致的，除非网由直线段组成，其方向与弦的电荷相关。仅当膜轮廓是全纯的时，膜和 D3 膜产生的几何形状才一致。使用扰动理论，我们表明对于任何允许的源分布都存在唯一的重力解。我们还重新审视了具有 AdSp × Sq 渐近线的 1/4-BPS 几何结构，并导出了导致规则几何结构的边界条件。常规解决方案的所有简并极限均与膜探针分析的预期一致。
We discuss brane webs preserving eight supercharges and derive geometries produced by them. Consistency conditions of supergravity are shown to impose certain requirements on the locations of the sources, and these restrictions are found to be in a perfect agreement with results of the probe analysis. In particular, solutions of IIB SUGRA describing (p,q) stings are inconsistent, unless the web consists of straight line segments whose orientation is correlated with charges of the string. The geometries produced by membranes and D3 branes are only consistent if brane profiles are holomorphic. Using perturbation theory, we show that a unique gravity solution exists for any allowed distribution of sources. We also revisit 1/4-BPS geometries with AdSp × Sq asymptotics and derive the boundary conditions leading to regular geometries. All degenerate limits of regular solutions are shown to agree with expectations from the brane probe analysis.