Exceptional symmetries in light-cone superspace

A bstract We construct maximal supergravity in five-dimensions by ‘oxidizing’ the four-dimensional $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 8 theory. The relevant symmetries, the unitary symplectic group USp(8) and the exceptional group E 6 , are both presented in light-cone superspace and their connections with SU(8) and E 7 highlighted. We explain a procedure to derive higher-point interaction vertices in both the 4- and 5-dimensional supergravity theories using exclusively the exceptional symmetries. Specific forms for the quartic and quintic interaction vertices in light-cone superspace are derived.