标题： 关于全息高自旋理论中的（非）局域性注记 显示英文标题

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

摘要： 最近有观点认为，全息高自旋理论具有非局域相互作用。 我们进一步利用Mellin表示法详细阐述了这些结果。 在此过程中之前遇到的主要困难是，自由理论相关函数的Mellin振幅定义不明确。 为了解决这个问题，而不是严格按照标准定义执行，我们建议通过线性性并利用分解来定义这个振幅，其中每个项都有一个定义良好的关联Mellin振幅。 在符号上相差不大，所得到的振幅等于 bulk 理论四点顶点奇异部分的Mellin振幅，并且因此可以用来分析 bulk 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一种特殊形式的奇异性，这种奇异性可以与一般的 bulk 交换区分开来。 我们简要讨论了这种奇异性物理解释及其与诺特定理程序的关系。 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 using the Mellin representation. The main difficulty previously encountered on this way is that the Mellin amplitude for the free theory correlator is ill-defined. To resolve this problem, instead of literally applying the standard definition, we propose to define this amplitude by linearity using decompositions, where each term has the associated Mellin amplitude well-defined. Up to a sign, the resulting amplitude is equal to the Mellin amplitude for the singular part of the quartic vertex in the bulk theory and, hence, can be used to analyze 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 special form, which can be distinguished from generic bulk exchanges. We briefly discuss the physical interpretation of such singularities and their relation to the Noether procedure.