AdS solutions through transgression
AdS solutions through transgression
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DOI：
10.1088/1126-6708/2008/09/021
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发表时间：
2008-07
影响因子：
5.4
通讯作者：
Aristomenis Donos;J. Gauntlett;Nakwoo Kim
中科院分区：
文献类型：
--
作者：
Aristomenis Donos;J. Gauntlett;Nakwoo Kim
我们提出了具有非零五种通量的 IIB 型超重力的新型显式超对称 AdS3 解，以及具有电四种通量的 D = 11 超重力的 AdS2 解。前者是具有 (0,2) 超对称性的对偶二维 SCFT，后者是具有两个超电荷的超对称量子力学。我们还研究了更一般类别的 IIB 型超重力 AdS3 解和 D = 11 超重力 AdS2 解，它们还分别具有非零三型通量和磁四型通量。这些更一般解的构造必须使用 Chern-Simons 或 Bianchi 恒等式中的“海侵”项或超重力理论中的场强运动方程。我们构建了无限新类别的显式示例，并且对于某些 IIB 型解决方案确定了对偶 SCFT 的中心电荷。我们构造的具有非零三形式通量的IIB型解包括两个环面，并且在两个T-对偶性和一个S-对偶性之后，我们获得新的AdS3解，其中只有NS场是重要的。
We present new classes of explicit supersymmetric AdS3 solutions of type IIB supergravity with non-vanishing five-form flux and AdS2 solutions of D = 11 supergravity with electric four-form flux. The former are dual to two-dimensional SCFTs with (0,2) supersymmetry and the latter to supersymmetric quantum mechanics with two supercharges. We also investigate more general classes of AdS3 solutions of type IIB supergravity and AdS2 solutions of D = 11 supergravity which in addition have non-vanishing three-form flux and magnetic four-form flux, respectively. The construction of these more general solutions makes essential use of the Chern-Simons or ``transgression'' terms in the Bianchi identity or the equation of motion of the field strengths in the supergravity theories. We construct infinite new classes of explicit examples and for some of the type IIB solutions determine the central charge of the dual SCFTs. The type IIB solutions with non-vanishing three-form flux that we construct include a two-torus, and after two T-dualities and an S-duality, we obtain new AdS3 solutions with only the NS fields being non-trivial.