Exceptional versus superPoincaré algebra as the defining symmetry of maximal supergravity

Abstract

We describe how one may use either the superPoincaré algebra or the exceptional algebra to construct maximal supergravity theories in the light-cone formalism. The d=4 construction shows both symmetries albeit in a non-linearly realized manner. In d=11, we find that we have to choose which of these two symmetries to use, in constructing the theory. In order to understand the other "unused" symmetry, one has to perform a highly non-trivial field redefinition. We argue that this shows that one cannot trust counterterm arguments that do not take the full symmetry of the theory into account. Finally we discuss possible consequences for Superstring theory and M-theory.

22 pages

References in corpus (4)

• E_7(7) on the Light Cone
• The N=8 Supergravity Hamiltonian as a Quadratic Form
• E8(8) in Light Cone Superspace
• Counterterms in Gravity in the Light-Front Formulation and a D=2 Conformal-like Symmetry in Gravity

Cited by in corpus (11)

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• Gravitation and quadratic forms
• Higher spins, quadratic forms and amplitudes
• A hidden symmetry in quantum gravity
• Deriving field theories for particles of arbitrary spin with and without supersymmetry
• Ehlers symmetry in four dimensions
• Maximal supergravity and the quest for finiteness
• Exceptional symmetries in light-cone superspace