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arXiv · 2107.09037

SL(5) supersymmetry

Martin Cederwall
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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 $S(E_4)$ and the exceptional superalgebra $E(5,10)$. A theorem relating ${\scr B}(E_4)$ and $E(5,10)$ to all levels is given.

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BibTeXRIS

Martin Cederwall. 2021-07-19. SL(5) supersymmetry. https://doi.org/10.1002/prop.202100116

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