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We study representations of the Poincar\'e group that have a privilegedtransformation law along a p-dimensional hyperplane, and uncover theirassociated spinor helicity variables in D spacetime dimensions. Our novelrepresentations generalize the recently introduced celestial states andtransform as conformal primaries of SO(p,1), the symmetry group of thep-hyperplane. We will refer to our generalized states as ``partiallycelestial." Following Wigner's method, we find the induced representations,including spin degrees of freedom. Defining generalized spinor helicityvariables for every D and p, we are able to construct the little groupcovariant part of partially celestial amplitudes. Finally, we briefly examinethe application of the pairwise little group to partially celestial states withmutually non-local charges.

Partially Celestial States and Their Scattering Amplitudes