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Then

M. S. Costa, V. Gonçalves, and J. Penedones, “Spinning AdS Propagators,” JHEP
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2014
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2014
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2020

Asymptotic Symmetries and Celestial CFT

Donnay, Laura, Pasterski, Sabrina, Puhm, Andrea

Understand

We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension $\Delta$.

This effort lands us at the crossroads of two ongoing debates about what the appropriate conformal basis for celestial CFT is and what the asymptotic symmetry group of Einstein gravity at null infinity should be.
Finite energy wavefunctions are captured by the principal continuous series $\Delta\in 1+i\mathbb{R}$ and form a complete basis.
We show that conformal primaries with analytically continued conformal dimension can be understood as certain contour integrals on the principal series.