论文标题
高自旋电荷颗粒的散装相互作用和边界双重
Bulk interactions and boundary dual of higher-spin-charged particles
论文作者
论文摘要
我们考虑（Euclidean）ADS_4中的高旋转重力，对3D边界上的自由向量模型双重。在批量理论中，我们研究了Didenko-Vasiliev黑洞解决方案的线性化版本：通过类似BPS的电荷模式，将粒子耦合到所有自旋的仪表场。我们研究了两个这样的粒子在领先顺序上的相互作用。旋转的总和取消了将两个颗粒靠近的紫外线差异，因为（几乎）相对速度的任何值。这是超级著名特征的更高自旋增强，即在休息时两个BPS颗粒之间的电力和重力的取消。在全息环境中，我们指出，这些“ didenko-vasiliev颗粒”只是边界理论中双向算子的批量双重双重偶。为了进行此识别，我们使用散装场和扭曲函数之间的penrose变换，以及其全息双重偶，将曲折函数与边界源相关联。在结果的图片中，两个didenko-vasiliev颗粒之间的相互作用只是一个测量的witten图，它计算两个边界双焦点的相关器。我们推测对批量理论的可能重新制定及其非本地性问题的影响。
We consider higher-spin gravity in (Euclidean) AdS_4, dual to a free vector model on the 3d boundary. In the bulk theory, we study the linearized version of the Didenko-Vasiliev black hole solution: a particle that couples to the gauge fields of all spins through a BPS-like pattern of charges. We study the interaction between two such particles at leading order. The sum over spins cancels the UV divergences that occur when the two particles are brought close together, for (almost) any value of the relative velocity. This is a higher-spin enhancement of supergravity's famous feature, the cancellation of the electric and gravitational forces between two BPS particles at rest. In the holographic context, we point out that these "Didenko-Vasiliev particles" are just the bulk duals of bilocal operators in the boundary theory. For this identification, we use the Penrose transform between bulk fields and twistor functions, together with its holographic dual that relates twistor functions to boundary sources. In the resulting picture, the interaction between two Didenko-Vasiliev particles is just a geodesic Witten diagram that calculates the correlator of two boundary bilocals. We speculate on implications for a possible reformulation of the bulk theory, and for its non-locality issues.
