"Analytic Minkowski Functionals in the CMB"

Detecting the primordial non-Gaussianity is one of the most promising
ways to observationally constrain models of early universe. We
consider the set of Minkowski functionals (MFs) as a tool to
characterize the non-Gaussianity in the CMB. In this work, analytic
formulas of MFs in two-dimensional random fields are generally
derived, including effects of second-order non-Gaussianity in the
presence of both the bispectrum and trispectrum. In a case of
local-type non-Gaussianity, the MFs are analytically given by powers
of quadratic and cubic parameters, f_NL and g_NL. The analytic
formulas are compared to numerical realizations of non-Gaussian
temperature maps, showing very good agreements.