The N = 8 supergravity Hamiltonian as a quadratic form

Abstract

We 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 order κ2. © 2006 Elsevier B.V. All rights reserved.