Superfield equations in the Berezin-Kostant-Leites category
arXiv:2106.12455
Abstract
Using the functor of points, we prove that the Wess-Zumino equations for massive chiral superfields in dimension 4|4 can be represented by supersymmetric equations in terms of superfunctions in the Berezin-Kostant-Leites sense (involving ordinary fields, with real and complex valued components). Then, after introducing an appropriate supersymmetric extension of the Fourier transform, we prove explicitly that these supersymmetric equations provide a realization of the irreducible unitary representations with positive mass and zero superspin of the super Poincaré group in dimension 4|4.
16 pages. arXiv admin note: text overlap with arXiv:1407.5506