论文标题
天体上的巨大旋转玻色子
Massive Spinning Bosons on the Celestial Sphere
论文作者
论文摘要
描述了Pasterski-shao-Strominger（PSS）处方的自然扩展，从而使Minkowski空间振幅的地图具有大量的外部腿，以便进行天体球。天体上巨大的旋转玻色子的共形初级波函数（CPW）的积分表示是针对旋转旋转和-two的。通过与自旋零病例的类比，欧几里得ADS上的旋转体积到结合的繁殖物被用来将大规模的CPW积分表示扩展到任意整数自旋，并描述了Minkowski空间中质量旋转CPW的适当逆变换到平面波的适当逆变换。随后，确定了天体上的巨大旋转$ S $动量操作员表示，并与已知的Lorentz Generator一起使用，用于在通用的大规模旋转两，三分和四点天体振幅结构上得出Poincaré对称约束。最后，作为一致性检查，两个无质量标量和一个旋转的或-two巨大的玻色子的三分斑点空间幅度明确映射到天体球体，并确认所得的三点函数系数与来自PoincCarré对称性约束的结果完全一致。
A natural extension of the Pasterski-Shao-Strominger (PSS) prescription is described, enabling the map of Minkowski space amplitudes with massive spinning external legs to the celestial sphere to be performed. An integral representation for the conformal primary wave function (CPW) of massive spinning bosons on the celestial sphere is derived explicitly for spin-one and -two. By analogy with the spin-zero case, the spinning bulk-to-boundary propagator on Euclidean AdS is employed to extend the massive CPW integral representation to arbitrary integer spin, and to describe the appropriate inverse transform of massive spinning CPWs back to the plane wave basis in Minkowski space. Subsequently, a massive spin-$s$ momentum operator representation on the celestial sphere is determined, and used in conjunction with known Lorentz generators to derive Poincaré symmetry constraints on generic massive spinning two-, three- and four-point celestial amplitude structures. Finally, as a consistency check, three-point Minkowski space amplitudes of two massless scalars and a spin-one or -two massive boson are explicitly mapped to the celestial sphere, and the resulting three-point function coefficients are confirmed to be in exact agreement with the results obtained from Poincaré symmetry constraints.
