Integrability and Canonical Structure of d=2, N=16 Supergravity

Details Integrability and Canonical Structure of d=2, N=16 Supergravity Integrability and Canonical Structure of d=2, N=16 Supergravity

1998-04-23

arxiv.org/abs/hep-th/9804152v2

Nucl.Phys. B533 (1998) 210-242

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 28 pages, 1 figure, minor corrections, one reference ([42]) added, version to appear in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(98)00496-9

The canonical formulation of d=2, N=16 supergravity is presented. We work out the supersymmetry generators (including all higher order spinor terms) and the N=16 superconformal constraint algebra. We then describe the construction of the conserved non-local charges associated with the affine E_9 symmetry of the classical equations of motion. These charges are shown to commute weakly with the supersymmetry constraints, and hence with all other constraints. Under commutation, they close into a quadratic algebra of Yangian type, which is formally the same as that of the bosonic theory. The Lie-Poisson action of E_9 on the classical solutions is exhibited explicitly. Further implications of our results are discussed.

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