Fivebranes from gauge theory
Fivebranes from gauge theory
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规范理论中的五膜
DOI：
10.1103/physrevd.74.084014
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发表时间：
2005
影响因子：
5
通讯作者：
J. Maldacena
中科院分区：
文献类型：
--
作者：
Hai Lin;J. Maldacena
我们研究的理论有16个超荷和一个离散的能谱。一类理论具有对称群SU（2| 4）。它们是N=4超杨-米尔斯理论的截断。它们包括平面波矩阵模型、RxS{sup 2}上的2+1超杨-米尔斯理论和RxS{sup 3}/Z{sub k}上的N=4超杨-米尔斯理论。我们解释了如何以统一的方式获得它们的引力常数。我们探索的几何形状，一些1/2 BPS和近BPS状态的研究相关的区域。这导致了一类具有非零H通量的二维（4，4）超对称σ模型，包括一个大质量变形的WZW模型。我们展示了如何将弦谱的一些特征与杨-米尔斯理论相匹配。另一类理论也与N=4的超级杨-米尔斯理论有关，并通过使某些横标量紧致而产生。他们的真空由2D杨-米尔斯理论或3D陈-西蒙斯理论表征。这些理论在2+1或1+1维中实现了具有“非中心"电荷的特殊超庞加莱对称代数。最后讨论了AdS{sub 3}xS{sup 1}上N=4超Yang-Mills理论的引力场。
We study theories with 16 supercharges and a discrete energy spectrum. One class of theories has symmetry group SU(2|4). They arise as truncations of N=4 super Yang-Mills theory. They include the plane-wave matrix model, 2+1 super Yang-Mills theory on RxS{sup 2} and N=4 super Yang-Mills theory on RxS{sup 3}/Z{sub k}. We explain how to obtain their gravity duals in a unified way. We explore the regions of the geometry that are relevant for the study of some 1/2 BPS and near BPS states. This leads to a class of two dimensional (4,4) supersymmetric sigma models with nonzero H flux, including a massive deformed WZW model. We show how to match some features of the string spectrum with the Yang-Mills theory. The other class of theories are also connected to N=4 super Yang-Mills theory and arise by making some of the transverse scalars compact. Their vacua are characterized by a 2D Yang-Mills theory or 3D Chern-Simons theory. These theories realize peculiar super-Poincare symmetry algebras in 2+1 or 1+1 dimensions with ''noncentral'' charges. We finally discuss gravity duals of N=4 super Yang-Mills theory on AdS{sub 3}xS{sup 1}.