Integrability and canonical structure of D=2, N="16" supergravity

Nicolai, Hermann; Samtleben, Henning

doi:10.1016/S0550-3213(98)00496-9

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Integrability and canonical structure of D=2, N="16" supergravity

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Nicolai, Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Samtleben, Henning
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai, H., & Samtleben, H. (1998). Integrability and canonical structure of D=2, N="16" supergravity. Nuclear Physics B, 533(1-3), 210-242. doi:10.1016/S0550-3213(98)00496-9.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-59FC-E

Abstract

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 E9(+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 E9(+9) on the classical solutions is exhibited explicitly. Further implications of our results are discussed.