  In celestial conformal field theory, gluons are represented by primary fields
with dimensions $\Delta=1+i\lambda$, $\lambda\in\mathbb{R}$ and spin $J=\pm 1$,
in the adjoint representation of the gauge group. All two- and three-point
correlation functions of these fields are zero as a consequence of
four-dimensional kinematic constraints. Four-point correlation functions
contain delta-function singularities enforcing planarity of four-particle
scattering events. We relax these constraints by taking a shadow transform of
one field and perform conformal block decomposition of the corresponding
correlators. We compute the conformal block coefficients. When decomposed in
channels that are "compatible" in two and four dimensions, such four-point
correlators contain conformal blocks of primary fields with dimensions
$\Delta=2+M+i\lambda$, where $M\ge 0$ is an integer, with integer spin
$J=-M,-M+2,\dots,M-2,M$. They appear in all gauge group representations
obtained from a tensor product of two adjoint representations. When decomposed
in incompatible channels, they also contain primary fields with continuous
complex spin, but with positive integer dimensions.
