Abstract
As the whole physical community is celebrating 30 years of supersymmetry, the aim of the present paper is to analyse an 50(3,1) ×SU(N)— gauge invariant supersymmetric model on the Einstein’s universe. Thus, by exploiting the maximalS 3 symmetry, which allows the use of group theoretical techniques, we deal with a (1/2, 1, 3/2)—spin particle system on theS 3 ×R manifold. After we derive the Dirac-Rarita-Schwinger-Yang-Mills-type field equations, we focus on the additional terms that come into theory as a result of the compactness of space and spin coupling to gravity.
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Dariescu, M.A., Dariescu, C. SU(N) supersymmetry onS 3 × R spacetime. Found Phys Lett 15, 277–286 (2002). https://doi.org/10.1023/A:1021035721297
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DOI: https://doi.org/10.1023/A:1021035721297