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 (8)

• On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
• Three-Loop Superfiniteness of N=8 Supergravity
• Ultraviolet properties of Maximal Supergravity
• Non-renormalisation Conditions in Type II String Theory and Maximal Supergravity
• Non-linear Realization of PSU(2,2|4) on the Light-Cone
• The N=8 Supergravity Hamiltonian as a Quadratic Form
• Eleven-Dimensional Supergravity in Light-Cone Superspace
• Oxidizing SuperYang-Mills from (N=4,d=4) to (N=1,d=10)

Cited by in corpus (31)

• What is the Simplest Quantum Field Theory?
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• 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
• E{7(7)} Symmetry and Finiteness of N=8 Supergravity
• R^4 counterterm and E7(7) symmetry in maximal supergravity
• The footprint of E7 in amplitudes of N=8 supergravity
• E7(7) invariant Lagrangian of d=4 N=8 supergravity
• N=8 Supergravity on the Light Cone
• N=8 Supergravity 4-point Amplitudes
• The Ultraviolet Finiteness of N=8 Supergravity
• On UV Finiteness of the Four Loop N=8 Supergravity
• Super-Ehlers in Any Dimension
• Yang-Mills theories and quadratic forms
• Counterterms in Gravity in the Light-Front Formulation and a D=2 Conformal-like Symmetry in Gravity
• Exceptional versus superPoincaré algebra as the defining symmetry of maximal supergravity
• Dynamical supersymmetry in maximally supersymmetric gauge theories
• Gravitation and quadratic forms
• The BLG Theory in Light-Cone Superspace
• From lightcone actions to maximally supersymmetric amplitudes
• A Note on Single Soft Scalar Emission of $\mathcal{N}=8$ SUGRA and $E_{7(7)}$ Symmetry
• A hidden symmetry in quantum gravity
• Gravity as the square of Yang-Mills: implications for N=8 Supergravity
• Maximally Supersymmetric Yang-Mills in five dimensions in light-cone superspace
• Deformation of d=4, N> 4 Supergravities Breaks Nonlinear Local Supersymmetry
• Kac-Moody and Borcherds Symmetries of Six-Dimensional Chiral Supergravity
• Maximal supergravity and the quest for finiteness
• The $\mathcal{O}\mathcal{S}\mathcal{P}(2,2|16)$ superconformal theory is free!
• Exceptional symmetries in light-cone superspace