标题： 关于全息高自旋理论中的（非）定域性的一篇笔记 显示英文标题

标题： A Note on (Non)-Locality in Holographic Higher Spin Theories

摘要： 最近有人提出，全息高自旋理论具有非局部相互作用。 我们进一步详细阐述这些结果，以明确边界四点关联函数的Mellin振幅是什么。 在符号的意义上，这个振幅等于体理论中四点接触相互作用奇异部分的Mellin振幅，因此可以用来分析体局域性。 从这一分析中我们发现，全息高自旋理论中的标量四次自相互作用顶点具有非常特殊的奇异性，这种奇异性不能与一般的体交换相联系。 我们简要讨论这种奇异性物理意义以及它们的存在是否意味着Noether过程的平凡性。 显示英文摘要

摘要： It was argued recently that the holographic higher spin theory features non-local interactions. We further elaborate on these results by clarifying what is the Mellin amplitude for the boundary four-point correlator. Up to a sign, this amplitude is equal to the Mellin amplitude for the singular part of the four-point contact interaction in the bulk theory and, hence, can be used to analyse bulk locality. From this analysis we find that the scalar quartic self-interaction vertex in the holographic higher spin theory has a singularity of a very special form, which cannot be associated with generic bulk exchanges. We briefly discuss the physical interpretation of such singularities and whether their presence implies triviality of the Noether procedure.