SL(5) supersymmetry

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.

14 pp. v2: minor changes, added refs

References in corpus (2)

• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry

Cited by in corpus (1)

• Twisted eleven-dimensional supergravity