We study representations of the Poincaré group that have a privileged transformation law along a $p$-dimensional hyperplane, and uncover their associated spinor-helicity variables in $D$ spacetime dimensions. Our novel representations generalize the recently introduced celestial states and transform as conformal primaries of $SO(p,1)$, the symmetry group of the $p$-hyperplane. We will refer to our generalized states as “partially celestial.” Following Wigner’s method, we find the induced representations, including spin degrees of freedom. Defining generalized spinor-helicity variables for every $D$ and $p$, we are able to construct the little group covariant part of partially celestial amplitudes. Finally, we briefly examine the application of the pairwise little group to partially celestial states with mutually nonlocal charges.

中文翻译：

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部分天体态及其散射振幅

我们研究庞加莱群的表示，该群具有沿$p$维超平面，并揭示它们相关的自旋螺旋变量$D$时空维度。我们的新颖表示概括了最近引入的天体状态并转换为$S氧（p,1）$，对称群$p$-超平面。我们将我们的广义状态称为“部分天体”。按照维格纳的方法，我们找到了诱导表示，包括自旋自由度。为每个定义广义自旋螺旋变量$D$和$p$，我们能够构造部分天体振幅的小群协变部分。最后，我们简要地研究了成对小群在具有相互非局域电荷的部分天体态中的应用。