  We consider the real-time holography on Anti-de-Sitter (AdS) and more
generally on Lifshitz spacetimes for spinorial fields. The equation of motion
for fermions on general Lifshitz space is derived. Analytically solvable cases
are identified. On AdS space we derived time-ordered, time-reversed, advanced
and retarded propagators with the correct i \epsilon-insertions. Using the
Keldysh-Schwinger contour we also calculated a propagator on thermal AdS. For
massless fermions on the Lifshitz spacetime with z=2 we calculated the
Euclidean 2-point function and explored the structure of divergences of the
on-shell action for general values of z and mass m. The covariant counterterm
action is derived.
