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- W4297789588 abstract "It is known that every irreducible unitary representation of positive energy of the Poincar'e group can be realized as a subspace of tensor fields on Minkowski spacetime subjected to suitable partial differential equations. We first describe geometrically the general mechanism that produces, via Fourier transform, the invariant differential operators corresponding to those representations. Then, using a super-version of the Fourier transform, we show explicitly how a massive irreducible unitary representation of the super Poincar'e group in dimension $(4|4)$ can be realized as a linear sub-supermanifold of suitably constrained superfunctions. In this way, we obtain supersymmetric equations in terms of ordinary (non-Grassmannian) fields. Finally, using the functor of points, we show how our equations can be related in a natural way to the Wess-Zumino equations for massive chiral superfields." @default.
- W4297789588 created "2022-10-01" @default.
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- W4297789588 date "2014-07-21" @default.
- W4297789588 modified "2023-10-14" @default.
- W4297789588 title "Supersymmetric field equations from momentum space" @default.
- W4297789588 doi "https://doi.org/10.48550/arxiv.1407.5506" @default.
- W4297789588 hasPublicationYear "2014" @default.
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