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arXiv · 0801.2993

E_7(7) on the Light Cone

Lars Brink·Sung-Soo Kim·Pierre Ramond
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Abstract

We use the Cremmer-Julia E_7(7) non-linear symmetry of N=8 Supergravity to derive its order $κ^2$ 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 $κ$, 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 $κ^2$, and express the Hamiltonian as a quadratic form in the chiral superfield.

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Lars Brink, Sung-Soo Kim, Pierre Ramond. 2008-06-11. E_7(7) on the Light Cone. https://doi.org/10.1088/1126-6708%2F2008%2F06%2F034

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