CFT in AdS and boundary RG flows
CFT in AdS and boundary RG flows
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DOI：
10.1007/jhep11(2020)118
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发表时间：
2020-07
影响因子：
5.4
通讯作者：
S. Giombi;H. Khanchandani
中科院分区：
文献类型：
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作者：
S. Giombi;H. Khanchandani
利用具有边界的平坦空间通过Weyl变换与反德西特（AdS）空间相关联的事实，可以通过将CFT放置在AdS中来研究边界共形场论（BCFT）中的观测量。除了相关函数的本地运营商，一个数量的兴趣是自由能的CFT计算的AdS空间与双曲球度量，即与球形边界。很自然地期望AdS自由能可以用来定义在边界重整化群流下减少的量。我们通过详细讨论一般维d中的大N临界O（N）模型的情况以及它在ε展开中的微扰描述来测试这个想法。使用AdS的方法，我们恢复各种已知的边界临界行为的模型，我们计算每个边界不动点的自由能，发现结果是一致的，在连续的尺寸范围内的约束F-定理。最后，我们还使用AdS设置来计算相关函数并提取一些BCFT数据。特别是，我们表明，使用散装运动方程，结合交叉对称性，给出了一种有效的方法来约束散装两点函数和提取边界算子的异常尺寸。
Using the fact that flat space with a boundary is related by a Weyl transformation to anti-de Sitter (AdS) space, one may study observables in boundary conformal field theory (BCFT) by placing a CFT in AdS. In addition to correlation functions of local operators, a quantity of interest is the free energy of the CFT computed on the AdS space with hyperbolic ball metric, ie with a spherical boundary. It is natural to expect that the AdS free energy can be used to define a quantity that decreases under boundary renormalization group flows. We test this idea by discussing in detail the case of the large N critical O (N) model in general dimension d, as well as its perturbative descriptions in the epsilon-expansion. Using the AdS approach, we recover the various known boundary critical behaviors of the model, and we compute the free energy for each boundary fixed point, finding results which are consistent with the conjectured F-theorem in a continuous range of dimensions. Finally, we also use the AdS setup to compute correlation functions and extract some of the BCFT data. In particular, we show that using the bulk equations of motion, in conjunction with crossing symmetry, gives an efficient way to constrain bulk two-point functions and extract anomalous dimensions of boundary operators.