Exceptional symmetries in light-cone superspace

TL;DR

This paper constructs five-dimensional maximal supergravity using light-cone superspace, highlighting exceptional symmetries like E6 and E7, and derives higher-point interaction vertices leveraging these symmetries.

Contribution

It introduces a method to derive higher-point interaction vertices in supergravity theories using exceptional symmetries within light-cone superspace.

Findings

Derived explicit forms of quartic and quintic interaction vertices.

Presented a procedure to obtain higher-point interactions using exceptional symmetries.

Connected symmetries in 4D and 5D supergravity theories.

Abstract

We construct maximal supergravity in five-dimensions by 'oxidizing' the four-dimensional $\mathcal{N}=8$ 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.