The Ashtekar Variables and a Varying Cosmological Constant from Dynamical Chern-Simons Gravity

We revisit the Kodama state by quantizing the theory of General Relativity (GR) with dynamical Chern-Simons (dCS) gravity. We find a new exact solution to the Wheeler-DeWitt equation where the Pontryagin term induces a modification in the Kodama state from quantizing GR alone. The dCS modification directly encodes the variation of the cosmological constant.