E8(8) in Light Cone Superspace

TL;DR

This paper derives the E8(8) symmetry action on a superfield in light-cone superspace and constructs supersymmetries that produce an E8(8)-invariant Hamiltonian with specific interaction properties.

Contribution

It introduces the non-linear E8(8) action in light-cone superspace and constructs dynamical supersymmetries that ensure E8(8) invariance of the Hamiltonian.

Findings

E8(8) acts non-linearly on the superfield

Constructed 16 dynamical supersymmetries

Hamiltonian exhibits E8(8) invariance with even powers of coupling

Abstract

We derive the non-linear action of E8(8) on the constrained chiral superfield in the light-cone superspace with eight complex Grassmann variables. We construct (to lowest order in the coupling) the sixteen dynamical supersymmetries which generate a Hamiltonian with E8(8) invariance in three space-time dimensions, and show that it has only interactions with even powers of the coupling constant.