Spinorial geometry, horizons and superconformal symmetry in six dimensions
Spinorial geometry, horizons and superconformal symmetry in six dimensions
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DOI：
10.1088/0264-9381/31/12/123001
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发表时间：
2014-04
影响因子：
3.5
通讯作者：
Mehmet Akyol;Georgios Papadopoulos
中科院分区：
文献类型：
--
作者：
Mehmet Akyol;Georgios Papadopoulos
本文综述了求解Killing旋量方程的旋量几何方法在六维（1，0）超引力中的应用。特别是，它解释了如何使用该方法来确定保留的超对称性和几何的所有超对称背景的分数。然后描述了两个应用系统表现出超共形对称性。第一个是证明某些六维黑洞视界局部等距于AdS3 × AdS3，其中AdS3与S3同形。第二个是描述六维（1，0）超共形理论的所有超对称解，特别是它们的膜孤子。
The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to six-dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved by and the geometry of all supersymmetric backgrounds. Then two applications are described to systems that exhibit superconformal symmetry. The first is the proof that some six-dimensional black hole horizons are locally isometric to AdS3 × Σ3, where Σ3 is diffeomeorphic to S3. The second one is a description of all supersymmetric solutions of six-dimensional (1,0) superconformal theories and in particular of their brane solitons.