SL(5) supersymmetry
arXiv:2107.09037 · doi:10.1002/prop.202100116
Abstract
We consider supersymmetry in five dimensions, where the fermionic parameters are a 2-form under SL(5). Supermultiplets are investigated using the pure spinor superfield formalism, and are found to be closely related to infinite-dimensional extensions of the supersymmetry algebra: the Borcherds superalgebra ${\scr B}(E_4)$, the tensor hierarchy algebra and the exceptional superalgebra . A theorem relating ${\scr B}(E_4)$ and to all levels is given.
arXiv comment14 pp. v2: minor changes, added refs
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