  We provide an exact study of dynamical correlations for the quantum
spin-orbital liquid phases of an SU(2)-symmetric Kitaev honeycomb lattice
model. We show that the spin dynamics in this Kugel-Khomskii type model is
exactly the density-density correlation function of S=1 fermionic magnons,
which could be probed in resonant inelastic x-ray scattering experiments. We
predict the characteristic signatures of spin-orbital fractionalization in
inelastic scattering experiments and compare them to the ones of the
spin-anisotropic Kitaev honeycomb spin liquid. In particular, the resonant
inelastic x-ray scattering response shows a characteristic momentum dependence
directly related to the dispersion of fermionic excitations. The neutron
scattering cross section displays a mixed response of fermionic magnons as well
as spin-orbital excitations. The latter has a bandwidth of broad excitations
and a vison gap that is three times larger than that of the spin-1/2 Kitaev
model.
