  All correlation functions of conserved currents of the CFT that is dual to
unbroken Vasiliev theory are found as invariants of higher-spin symmetry in the
bulk of AdS. The conformal and higher-spin symmetry of the correlators as well
as the conservation of currents are manifest, which also provides a direct link
between the Maldacena-Zhiboedov result and higher-spin symmetries. Our method
is in the spirit of AdS/CFT, though we never take any boundary limit or compute
any bulk integrals. Boundary-to-bulk propagators are shown to exhibit an
algebraic structure, living at the boundary of SpH(4), semidirect product of
Sp(4) and the Heisenberg group. N-point correlation function is given by a
product of N elements.
