E_7(7) on the Light Cone

Details E_7(7) on the Light Cone E_7(7) on the Light Cone

2008-01-18

arxiv.org/abs/0801.2993v3

JHEP 06 (2008) 034

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, v2. the order-\kappa^2 form of the dynamical supersymmetry transformation corrected. v3. references and a few commen

Scientific paper

10.1088/1126-6708/2008/06/034

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.

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