  Celestial diamonds encode the global conformal multiplets of the conformally
soft sector, elucidating the role of soft theorems, symmetry generators and
Goldstone modes. Upon adding supersymmetry they stack into a pyramid. Here we
treat the soft charges associated to the fermionic layers that tie this
structure together. This extends the analysis of conformally soft currents for
photons and gravitons which have been shown to generate asymptotic symmetries
in gauge theory and gravity to infinite-dimensional fermionic symmetries. We
construct fermionic charge operators in 2D celestial CFT from a suitable inner
product between 4D bulk field operators and spin $s=\frac{1}{2}$ and
$\frac{3}{2}$ conformal primary wavefunctions with definite SL(2,$\mathbb{C}$)
conformal dimension $\Delta$ and spin $J$ where $|J|\leq s$. The generator for
large supersymmetry transformations is identified as the conformally soft
gravitino primary operator with $\Delta=\frac{1}{2}$ and its shadow with
$\Delta=\frac{3}{2}$ which form the left and right corners of the celestial
gravitino diamond. We continue this analysis to the subleading soft gravitino
and soft photino which are captured by degenerate celestial diamonds. Despite
the absence of a gauge symmetry in these cases, they give rise to conformally
soft factorization theorems in celestial amplitudes and complete the celestial
pyramid.
