论文标题
$ n =（2,0）$ ads $ _3 $ m理论解决方案
$N=(2,0)$ AdS$_3$ Solutions of M-theory
论文作者
论文摘要
我们考虑了保留$ n = 2 $超对称性的11维超级强度的最通用的解决方案，其指标是三维抗DE安静空间的扭曲产物，并具有八维歧管，重点是意识到的（2,0）超级共同对称性。我们给出了一组必要和足够的条件，使溶液具有超对称性，在一般情况下，就局部SU（2）结构及其内在的扭转而言，这可以用作词。我们表明，这些超级重力背景总是承认一个无处可杀的杀戮矢量场，该杀伤媒介领域保留了解决方案并编码双场理论的U（1）R-对称性。我们以文献中出现的示例来说明结果，包括SU（4），G $ _2 $和SU（3）结构的示例，并讨论Minkowski Solutions的新类别。
We consider the most general solutions of eleven-dimensional supergravity preserving $N=2$ supersymmetry whose metrics are warped products of three-dimensional anti-de Sitter space with an eight-dimensional manifold, focusing on those realising (2,0) superconformal symmetry. We give a set of necessary and sufficient conditions for a solution to be supersymmetric, which can be phrased, in the general case, in terms of a local SU(2) structure and its intrinsic torsion. We show that these supergravity backgrounds always admit a nowhere-vanishing Killing vector field that preserves the solution and encodes the U(1) R-symmetry of the dual field theory. We illustrate our results with examples which have appeared in the literature, including those with SU(4), G$_2$ and SU(3) structures, and discuss new classes of Minkowski solutions.
