Locality, bulk equations of motion and the conformal bootstrap
Locality, bulk equations of motion and the conformal bootstrap
复制标题
局域性、体运动方程和共形自举
DOI：
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发表时间：
2016
影响因子：
5.4
通讯作者：
G. Lifschytz
中科院分区：
文献类型：
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作者：
D. Kabat;G. Lifschytz
我们开发了一种方法来构建本地批量运营商在CFT订购1/N2。由于4点函数不固定的共形不变性，我们使用OPE分类可能的形式为散装经营者。使用以前的结果3点函数，我们构造一个本地批量运营商在每个OPE通道。然后，我们施加的条件下，在不同的渠道建设的批量运营商同意，因此产生一个定义良好的批量运营商。我们将这种情况称为“批量引导”。我们认为，并明确表明，在一些例子中，批量引导导致一些相同的结果，定期共形引导。事实上，批量引导提供了一种更容易的方法来确定一些CFT数据，因为它不需要知道保形块的形式。这一分析澄清了以前的结果与1/N展开理论的体局域性和自助之间的关系，它确定了一个简单而直接的方式，OPE系数和异常尺寸确定散装运动方程的顺序1/N2。
We develop an approach to construct local bulk operators in a CFT to order 1/N2. Since 4-point functions are not fixed by conformal invariance we use the OPE to categorize possible forms for a bulk operator. Using previous results on 3-point functions we construct a local bulk operator in each OPE channel. We then impose the condition that the bulk operators constructed in different channels agree, and hence give rise to a well-defined bulk operator. We refer to this condition as the “bulk bootstrap.” We argue and explicitly show in some examples that the bulk bootstrap leads to some of the same results as the regular conformal bootstrap. In fact the bulk bootstrap provides an easier way to determine some CFT data, since it does not require knowing the form of the conformal blocks. This analysis clarifies previous results on the relation between bulk locality and the bootstrap for theories with a 1/N expansion, and it identifies a simple and direct way in which OPE coefficients and anomalous dimensions determine the bulk equations of motion to order 1/N2.