E 7(7) on the light cone

Abstract

We use the Cremmer-Julia E 7(7) non-linear symmetry of = 8 Supergravity to derive its order κ 2 on-shell Hamiltonian in terms of one chiral light-cone superfield. By requiring that E 7(7) commute with the super-Poincaré group, we deduce to lowest non-trivial order in κ, the light cone E 7(7) transformations of all fields of the theory, including the graviton. We then derive the dynamical supersymmetry transformation to order κ 2, and express the Hamiltonian as a quadratic form in the chiral superfield.