On classification of models of large local-type non-Gaussianity

We classify models generating large local-type non-Gaussianity into some categories by using some ``consistency relations'' among the non-linearity parameters f NL local ,τ NL local and g NL local , which characterize the size of bispectrum for the former and trispectrum for the latter two. Then we discuss how one can discriminate models of large local-type non-Gaussianity with such relations. We first classify the models by using the ratio of τ NL local /(6 f NL local /5) 2 , which is unity for ``single-source'' models and deviates from unity for ``multi-source'' ones. We can make a further classification of models in each category by utilizing the relation between f NL local and g NL local . Our classification suggests that observations of trispectrum would be very helpful to distinguish models of large non-Gaussianity and may reveal the generation mechanism of primordial fluctuations.