Celestial diamonds: conformal multiplets in celestial CFT

A bstract We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles spin s = $$ \left\{0,\frac{1}{2},1,\frac{3}{2},2\right\} 0 1 2 3 we classify and construct all SL(2, ℂ ) primary descendants which are organized into ‘celestial diamonds’. This explicit construction is achieved using wavefunction-based approach that allows us to map scattering amplitudes CFT correlators operators with dimension ∆ J . Radiative wavefunctions have ± give rise conformally soft theorems for special values ∈ \frac{1}{2}\mathbb{Z} ℤ They located either at top diamonds, where they descend trivial null primaries, or left right corners, both from generalized | ≤ Celestial diamonds naturally incorporate degeneracies opposite helicity via shadow transform relating radiative primaries account asymptotic symmetries gauge gravity.