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

References in corpus (2)

• Non-linear Realization of PSU(2,2|4) on the Light-Cone
• Eleven-Dimensional Supergravity in Light-Cone Superspace

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• The quintic interaction vertex in light-cone gravity
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• BMS algebra from residual gauge invariance in light-cone gravity
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• Higher spins, quadratic forms and amplitudes
• Maximal supersymmetry and exceptional groups
• Light-cone gravity in dS${}_4$
• Light-Cone Superspace BPS Theory
• Gravity as the square of Yang-Mills: implications for N=8 Supergravity
• The structure of interaction vertices in pure gravity in the light-cone gauge
• New N=4 SYM Path Integral
• Mass-Deformed BLG Theory in Light-Cone Superspace
• Soft factors and interaction vertices from light-cone actions
• Exceptional symmetries in light-cone superspace