SL(5) Supersymmetry

Journal article, 2021

We consider supersymmetry in five dimensions, where the fermionic parameters are a 2-form under (Formula presented.). 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 (Formula presented.), the tensor hierarchy algebra (Formula presented.) and the exceptional superalgebra E(5, 10). A theorem relating (Formula presented.) and E(5, 10) to all levels is given.