Partially celestial states and their scattering amplitudes

Csaba Csáki, Ofri Telem, John Terning

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageAmerican English
Article number105020
JournalPhysical Review D
Volume109
Issue number10
DOIs
StatePublished - 15 May 2024

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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