2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/189640We conjecture that the light-cone Hamiltonian of N=8 Supergravity can be expressed as a quadratic form. We explain why this rewriting is unique to maximally supersymmetric theories. The N=8 quartic interaction vertex is constructed and used to verify that this conjecture holds to second order in the coupling constant.23 pages, minor corrections in appendix CHigh Energy Physics - Theorytext