Minimal unitary representation of image and its image deformations and image, image superconformal models Original Research Article

Quantization of the geometric quasiconformal realizations of noncompact groups and supergroups leads directly to their minimal unitary representations (minreps). Using quasiconformal methods massless unitary supermultiplets of superconformal groups image and image in four and six dimensions were constructed as minreps and their image and image deformations, respectively. In this paper we extend these results to image deformations of the minrep of image superconformal algebra image in one dimension. We find that image deformations can be achieved using n pair of bosons and m pairs of fermions simultaneously. The generators of deformed minimal representations of image commute with the generators of a dual superalgebra image realized in terms of these bosons and fermions. We show that there exists a precise mapping between symmetry generators of image superconformal models in harmonic superspace studied recently and minimal unitary supermultiplets of image deformed by a pair of bosons. This can be understood as a particular case of a general mapping between the spectra of quantum mechanical quaternionic Kähler sigma models with eight super symmetries and minreps of their isometry groups that descends from the precise mapping established between the 4d, image sigma models coupled to supergravity and minreps of their isometry groups.