We work out the basics of conformal N = (4, 4), 2D supergravity in the N = (4, 4), 2D analytic harmonic superspace with two independent sets of harmonic variables. We define the relevant most general analytic superspace diffeomorphism group and show that in the flat limit it goes over into the " large " N = (4, 4), 2D superconformal group. The basic objects of the supergravity considered are an...
