Let (M,g) be a riemannian four-manifold and ω an exterior form, θ a 1-form. I define the Lee equations:
dω=θ∧ω
d∗ω=ι(θ∗)(ω)
dθ+=0
with ι(X)(ω)(Yi)=ω(X,Yi).
The gauge group is the inversible functions, it acts f.(ω,θ)=(fω,θ+df/f).
Have we a good moduli space?