Supersymmetric AdS/CFT and black holes

AdS/CFT对应是Anti-de-Sitter时空中的弦/M-理论与共形场论之间的对偶。它继续阐明我们对量子场论和量子引力的理解。此外，它与有趣的几何结构有关。广泛的目标是进一步了解AdS/CFT在超对称的背景下，并探索新的几何结构出现。一个目标将是获得新的见解来推导超对称AdS黑洞类的熵。一个丰富的框架，这将被探索，提供了类超对称AdS 3解决方案的IIB型超引力，对偶d=2超对称共形场理论，以及超对称AdS 2解决方案的D=11超引力，出现的超对称黑洞解决方案的近视界极限。在这两种情况下，都有一个奇数维紧致内部流形支持GK几何，其解可以由D3膜和M2膜包裹紧致二维曲面产生，一个有趣的子类由称为纺锤体的二维orbifolds组成。这些主题将进行调查，以获得新的见解广告对应。

The AdS/CFT correspondence is a duality between string/M-theory in Anti-de-Sitter spacetime and conformal field theories. It continues to illuminate both our understanding of quantum field theory and of quantum gravity. Furthermore, it is associated with interesting geometric structures. The broad goals are to further our understanding of AdS/CFT in a supersymmetric context and explore the new geometric structures that arise. A goal will be to obtain new insights into deriving the entropy of classes of supersymmetric AdS black holes. A rich framework which will be explored, is provided by classes of supersymmetric AdS3 solutions of type IIB supergravity, dual to d=2 supersymmetric conformal field theories as well as supersymmetric AdS2 solutions of D=11 supergravity, which arise as the near horizon limit of supersymmetric black hole solutions. In both case there is an odd dimensional compact internal manifold which supports a GK geometry.The solutions can arise from D3 branes and M2 branes wrapping compact two dimensional surfaces and an interesting sub-class consists of two-dimensional orbifolds known as spindles. These topics will be investigated in order to obtain new insights into the AdS correspondence.