Bulk equations of motion from CFT correlators

Bulk equations of motion from CFT correlators
复制标题

来自 CFT 相关器的体运动方程

DOI：
--
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
G. Lifschytz
G. Lifschytz
中科院分区：
--
文献类型：
--
作者：
D. Kabat;G. Lifschytz

文献摘要

被引文献

相似文献

A bstractTo O1/N$$ mathcal{O}left（1/N 我们纯粹从CFT数据导出相互作用标量场和耦合到规范场和引力的标量场的体运动方程。我们首先提升CFT运营商模仿本地AdS领域施加批量微观因果关系。这需要在体场的CFT定义中添加一个无限的模糊高维双迹算子，系数是我们显式计算的。通过总结的贡献，更高的维度运营商，我们推导出满足这些提升CFT运营商的运动方程，并表明，我们精确地恢复预期的批量运动方程。我们展示了自由的CFT建设，这对应于批量字段的重新定义。
A bstractTo O1/N$$ mathcal{O}left(1/N ight) $$ we derive, purely from CFT data, the bulk equations of motion for interacting scalar fields and for scalars coupled to gauge fields and gravity. We first uplift CFT operators to mimic local AdS fields by imposing bulk microcausality. This requires adding an infinite tower of smeared higher-dimension double-trace operators to the CFT definition of a bulk field, with coefficients that we explicitly compute. By summing the contribution of the higher-dimension operators we derive the equations of motion satisfied by these uplifted CFT operators and show that we precisely recover the expected bulk equations of motion. We exhibit the freedom in the CFT construction which corresponds to bulk field redefinitions.