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 second order in the coupling constant.

23 pages, minor corrections in appendix C

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