Massive Celestial Fermions

Understand

In an effort to further the study of amplitudes in the celestial CFT (CCFT), we construct conformal primary wavefunctions for massive fermions.

• Upon explicitly calculating the wavefunctions for Dirac fermions, we deduce the corresponding transformation of momentum space amplitudes to celestial amplitudes.
• The shadow wavefunctions are shown to have opposite spin and conformal dimension $2-\Delta$.
• The Dirac conformal primary wavefunctions are delta function normalizable with respect to the Dirac inner product provided they lie on the principal series with conformal dimension $\Delta = 1+i\lambda$ for $\lambda\in\mathbb{R}$.