  The Chern-Simons-Kodama (CSK) state is an exact, non-perturbative wave
function in the Ashtekar formulation of classical General Relativity. In this
work, we find a generalized fermionic CSK state by solving the extended
gravitational and fermionic Hamiltonian constraints of the Wheeler-DeWitt
equation exactly. We show that this new state reduces to the original Kodama
state upon symmetry reduction to FRW coordinates with perturbative fermionic
corrections, making contact with the Hartle-Hawking and Vilenkin wave functions
of the universe in cosmology. We also find that when both torsion and fermions
are non-vanishing, the wave function possesses a finite amplitude to evade the
Big Bang curvature singularity.
