arXiv 0705.46422007-05-31hep-th

用AdS/CFT反演重整化群流

Reversing Renormalization-Group Flows with AdS/CFT

Donald Marolf, Simon F. Ross

备注：: 11 pages, 1 figure
发表信息：: JHEP 0805:055,2008
DOI：: 10.1088/1126-6708/2008/05/055

摘要：

对于质量略高于Breitenlohner-Freedman边界的AdS中的标量场，适当的非局部边界条件可以定义一个酉理论。这样的边界条件对应于对偶CFT的非局部变形，并产生非局部重整化群流。然而，大量分析表明，某些此类流动导致红外线中的本地CFTs。由于流动是非局部的，它们可以增加或减少CFT的中心荷。事实上，给定从UV理论（CFT_1）到IR理论（CFT_2）的某个一般类内的任何局部重整化群流，我们证明了可以找到这样一个端点互换的非局部流：非局部理论从IR中的CFT_2流到UV中的CFT_1。我们在大N下工作，但我们考虑的流动涉及大量的量子场效应，对应于对偶理论中的1/N修正。

英文摘要：

For scalar fields in AdS with masses slightly above the Breitenlohner-Freedman bound, appropriate non-local boundary conditions can define a unitary theory. Such boundary conditions correspond to non-local deformations of the dual CFT, and generate a non-local renormalization-group flow. Nevertheless, a bulk analysis suggests that certain such flows lead to local CFTs in the infra-red. Since the flows are non-local, they can either increase or decrease the central charge of the CFT. In fact, given any local renormalization-group flow within a certain general class which leads from a UV theory (CFT_1) to an IR theory (CFT_2), we show that one can find such a non-local flow in which the endpoints are interchanged: the non-local theory flows from CFT_2 in the IR to CFT_1 in the UV. We work at large N, but the flows we consider involve quantum field effects in the bulk, corresponding to 1/N corrections in the dual theory.

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