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We classify models generating large local-type non-Gaussianity into somecategories by using some "consistency relations" among the non-linearityparameters f_{NL}^{local}, \tau_{NL}^{local} and g_{NL}^{local}, whichcharacterize the size of bispectrum for the former and trispectrum for thelater two. Then we discuss how one can discriminate models of large local-typenon-Gaussianity with such relations. We first classify the models by using theratio of \tau_{NL}^{local}/(6f_{NL}^{local}/5)^2, which is unity for"single-source" models and deviates from unity for "multi-source" ones. We canmake a further classification of models in each category by utilizing therelation between f_{NL}^{local} and g_{NL}^{local}. Our classification suggeststhat observations of trispectrum would be very helpful to distinguish models oflarge non-Gaussianity and may reveal the generation mechanism of primordialfluctuations.

On Classification of Models of Large Local-Type Non-Gaussianity