Boundary Conditions and New Dualities : Vector Fields in AdS / CFT
Boundary Conditions and New Dualities : Vector Fields in AdS / CFT
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边界条件和新的对偶性：AdS / CFT 中的矢量场
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
S. Ross
中科院分区：
文献类型：
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作者：
D. Marolf;S. Ross
在AdS中，质量略高于Breitenlohner-Freedman界限的标量场允许各种可能的边界条件，这些条件反映在对偶场论的拉格朗日中。通用的AdS边界条件的小变化对应于变形的对偶场理论的多迹运营商。在这里，我们使用Ishibashi和Wald [hep-th/0402184]的结果，将这种讨论扩展到大块时空中的矢量规范场的情况。与标量场一样，向量场的一般边界条件涉及多迹变形，导致重整化群流。这样的流动起源于紫外线的CFTs，它提供了新的规范/重力对偶。至少对于AdS 4/CFT 3，体光子的对偶似乎是一个传播的规范场，而不是通常的R-电荷电流。将类似的推理应用于张量场，表明在AdS 4上的弦理论和三维量子引力理论之间存在一种新的对偶。
In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary conditions correspond to deformations of the dual field theory by multi-trace operators. Here we extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184]. As in the context of scalar fields, general boundary conditions for vector fields involve multi-trace deformations which lead to renormalization-group flows. Such flows originate in ultra-violet CFTs which give new gauge/gravity dualities. At least for AdS4/CFT3, the dual of the bulk photon appears to be a propagating gauge field instead of the usual R-charge current. Applying similar reasoning to tensor fields suggests the existence of a new duality between string theory on AdS4 and a quantum gravity theory in three dimensions.