E_7(7) on the Light Cone

Abstract

We use the Cremmer-Julia E_7(7) non-linear symmetry of N=8 Supergravity to derive its order ${\kappa }^2$ on-shell Hamiltonian in terms of one chiral light-cone superfield. By requiring that E_7(7) commute with the super-Poincare group, we deduce to lowest non-trivial order in $\kappa$, the light cone E_7(7) transformations of all fields of the theory, including the graviton. We then derive the dynamical supersymmetry transformation to order ${\kappa }^2$, and express the Hamiltonian as a quadratic form in the chiral superfield.

21 pages, v2. the order-κ^2 form of the dynamical supersymmetry transformation corrected. v3. references and a few comments added, version to appear in JHEP

References in corpus (3)

• Three-Loop Superfiniteness of N=8 Supergravity
• Ultraviolet properties of Maximal Supergravity
• The N=8 Supergravity Hamiltonian as a Quadratic Form

Cited by in corpus (8)

• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Exacting N=4 Superconformal Symmetry
• The ultra-violet question in maximally supersymmetric field theories
• The footprint of E7 in amplitudes of N=8 supergravity
• N=8 Supergravity 4-point Amplitudes
• On UV Finiteness of the Four Loop N=8 Supergravity
• Gravity as the square of Yang-Mills: implications for N=8 Supergravity