arXiv 0802.17792008-02hep-th

所有超对称四维${\cal N}=1$超引力背景的几何

Geometry of all supersymmetric four-dimensional ${\cal N}=1$ supergravity backgrounds

U. Gran, J. Gutowski, G. Papadopoulos

备注：: 15 pages; minor changes, references added, published version
发表信息：: JHEP 0806:102,2008
DOI：: 10.1088/1126-6708/2008/06/102

摘要：

我们解决了杀死旋量方程的${\cal N}=1$超引力，与四个超荷，耦合到任何数量的矢量和标量多重在所有情况下。我们发现，背景N=1超对称承认一个零，可积，Killing向量场。有两类N=2的背景。第一类时空允许一个平行零向量场，因此它是一个pp波。另一类时空有三个基灵向量场，以及一个与三个基灵方向交换的向量场。这些背景是具有均匀截面的共均匀背景，或者是$\bR^{2,1}$，或者是$AdS_3$，并且可以解释为畴壁。N=3的背景是局部最大超对称的。有N=3的背景，作为最大超对称的离散标识出现。最大超对称背景与$\bR^{3,1}$或$AdS_4$局部等距。

英文摘要：

We solve the Killing spinor equations of ${\cal N}=1$ supergravity, with four supercharges, coupled to any number of vector and scalar multiplets in all cases. We find that backgrounds with N=1 supersymmetry admit a null, integrable, Killing vector field. There are two classes of N=2 backgrounds. The spacetime in the first class admits a parallel null vector field and so it is a pp-wave. The spacetime of the other class admits three Killing vector fields, and a vector field that commutes with the three Killing directions. These backgrounds are of cohomogeneity one with homogenous sections either $\bR^{2,1}$ or $AdS_3$ and have an interpretation as domain walls. The N=3 backgrounds are locally maximally supersymmetric. There are N=3 backgrounds which arise as discrete identifications of maximally supersymmetric ones. The maximally supersymmetric backgrounds are locally isometric to either $\bR^{3,1}$ or $AdS_4$.

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英文摘要：

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