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A supersymmetric and smooth compactification of M-theory to AdS(5)

机译:M理论对AdS的超对称平滑紧化(5)

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We obtain smooth M-theory solutions whose geometry is a warped product of AdS(5) and a compact internal space that can be viewed as an S-4 bundle over S-2. The bundle can be trivial or twisted, depending on the even or odd values of the two diagonal monopole charges. The solution preserves M = 2 supersymmetry and is dual to an M = 1, D = 4 superconformal field theory, providing a concrete framework to study the AdS(5)/CFT4 correspondence in M-theory. We construct analogous embeddings of AdS(4), AdS(3) and AdS(2) in massive type IIA, type IIB and M-theory, respectively. The internal spaces have generalized holonomy and can be viewed as S-n bundles over S-2 for n = 4, 5 and 7. Surprisingly, the dimensions of spaces with generalized holonomy includes D = 9. We also obtain a large class of solutions of AdS x H-2. (C) 2003 Published by Elsevier B.V. References: 21
机译:我们得到了光滑的 M 理论解,其几何形状是 AdS(5) 的翘曲乘积,并且可以将其视为 S-2 上的 S-4 丛的紧内部空间。束可以是微不足道的,也可以是扭曲的,这取决于两个对角线单极子电荷的偶数值或奇数值。该解保留了 M = 2 的超对称性,并且是 M = 1, D = 4 超共形场论的对偶解,为研究 M 理论中的 AdS(5)/CFT4 对应关系提供了一个具体的框架。我们分别在大规模IIA型、IIB型和M型理论中构造了AdS(4)、AdS(3)和AdS(2)的类似嵌入。内部空间具有广义的全息性,可以看作是 n = 4、5 和 7 时 S-2 上的 S-n 丛。令人惊讶的是,具有广义全息的空间维度包括 D = 9。我们还获得了一大类 AdS x H-2 解决方案。(c) 2003年由Elsevier B.V.出版 [参考文献: 21]

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