Canonical structure of minimal varying Λ theories

Minimal varying $\Lambda$ theories are defined by an action built from the Einstein-Cartan-Holst first order for gravity with cosmological constant as independent scalar field, and supplemented Euler Pontryagin densities multiplied $1/\Lambda$. We identify canonical structure of these which turn out to represent example irregular systems. find five degrees freedom on generic backgrounds values parameters, whereas if parameters satisfy a certain condition (which includes most commonly considered case) only three remain. On de Sitter-like changes, due emergent conformal symmetry one degree drops spectrum. also analyze self-dual case holomorphic depending part connection. In this we two (complex) freedom, further discuss Kodama state, restriction Sitter background effect reality conditions.