arXiv 0905.01882009-05hep-th

AdS/CFT中的超伽利略共形代数

Super Galilean conformal algebra in AdS/CFT

Makoto Sakaguchi

备注：: 24pages, references and a note added, typos fixed
发表信息：: J.Math.Phys.51:042301,2010
DOI：: 10.1063/1.3321531

摘要：

伽利略共形代数（GCA）是共形代数的Inonu-Wigner（IW）压缩，而Newton-Hooke弦代数是AdS代数的IW压缩，AdS代数是AdS空间的等距。结果表明，GCA是Newton-Hooke弦代数在体AdS中的边界实现。弦位于横截边界的方向上，世界表是AdS_2。包含在GCA中的一维共形对称so（2，1）和旋转对称so（d）分别在AdS_{d+2}中实现为AdS_2弦世界面上的对称和横向于AdS_2的空间中的旋转对称。从这个对应关系可以导出32个超对称GCA作为超共形代数psu（2，2）的IW压缩|4），osp（8）|4）和osp（8^*| 4）。我们也从su（2，2）得到了更少的超对称GCA| 2），osp（4）|4），osp（2）|4）和osp（8^*| 2）。

英文摘要：

Galilean conformal algebra (GCA) is an Inonu-Wigner (IW) contraction of a conformal algebra, while Newton-Hooke string algebra is an IW contraction of an AdS algebra which is the isometry of an AdS space. It is shown that the GCA is a boundary realization of the Newton-Hooke string algebra in the bulk AdS. The string lies along the direction transverse to the boundary, and the worldsheet is AdS_2. The one-dimensional conformal symmetry so(2,1) and rotational symmetry so(d) contained in the GCA are realized as the symmetry on the AdS_2 string worldsheet and rotational symmetry in the space transverse to the AdS_2 in AdS_{d+2}, respectively. It follows from this correspondence that 32 supersymmetric GCAs can be derived as IW contractions of superconformal algebras, psu(2,2|4), osp(8|4) and osp(8^*|4). We also derive less supersymmetric GCAs from su(2,2|2), osp(4|4), osp(2|4) and osp(8^*|2).

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英文摘要：

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