Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
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M 理论中的四分之一 BPS AdS5 解，在黎曼曲面上具有 T2 束
DOI：
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发表时间：
2013
影响因子：
5.4
通讯作者：
I. Bah
中科院分区：
文献类型：
--
作者：
I. Bah
在m理论中对四分之一bps AdS5系统进行了研究和分类，该系统的内部六维几何是一个Riemann曲面和两个区间方向上的T2束。给出的一般系统，提供了m理论中所有已知AdS5解的统一描述。这些系统由两个函数控制，一个对应于黎曼表面的保形因子，另一个描述T2纤维化。我们找到了一组特殊的解，它们可以被分成两类。在第一种方法中，解由满足SU(∞)Toda方程的扭曲推广的Riemann曲面的保形因子指定。第二类系统要求黎曼曲面为S2、H2或T2。第一类包含Lin、Lunin和Maldacena的m理论AdS5解；Maldacena和Núñez的解决方案；Gauntlett, Martelli， Sparks和Waldram的解；以及Yp q度规的11维提升。第二部分包括Beem， Bobev， wect和作者最近发现的解决方案。在每堂课中都有新的解决方案，将在配套论文中研究。
We study and classify quarter-BPS AdS5 systems in M-theory, whose internal six-dimensional geometry is a T2 bundle over a Riemann surface and two interval directions. The general system presented, provides a unified description of all known AdS5 solutions in M-theory. These systems are governed by two functions, one that corresponds to the conformal factor of the Riemann surface and another that describes the T2 fibration. We find a special set of solutions that can be organized into two classes. In the first one, solutions are specified by the conformal factor of the Riemann surface which satisfies a warped generalization of the SU(∞) Toda equation. The system in the second class requires the Riemann surface to be S2, H2 or T2. Class one contains the M-theory AdS5 solutions of Lin, Lunin and Maldacena; the solutions of Maldacena and Núñez; the solutions of Gauntlett, Martelli, Sparks and Waldram; and the eleven-dimensional uplift of the Yp,q metrics. The second includes the recently found solutions of Beem, Bobev, Wecht and the author. Within each class there are new solutions that will be studied in a companion paper.
M5 膜的四维 SCFT
影响因子：
5.4
作者：
Bah I
通讯作者：
Bah I