New Canonical Variables for d=11 Supergravity

Details New Canonical Variables for d=11 Supergravity New Canonical Variables for d=11 Supergravity

1997-09-30

arxiv.org/abs/hep-th/9709227v1

Phys.Lett. B416 (1998) 91-100

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LATEX

Scientific paper

10.1016/S0370-2693(97)01305-1

A set of new canonical variables for $d=11$ supergravity is proposed which renders the supersymmetry variations and the supersymmetry constraint polynomial. The construction is based on the $SO(1,2)\times SO(16)$ invariant reformulation of $d=11$ supergravity given in previous work, and has some similarities with Ashtekar's reformulation of Einstein's theory. The new bosonic variables fuse the gravitational degrees of freedom with those of the three-index photon $A_{MNP}$ in accordance with the hidden symmetries of the dimensionally reduced theory. Although $E_8$ is not a symmetry of the theory, the bosonic sector exhibits a remarkable $E_8$ structure, hinting at the existence of a novel type of ``exceptional geometry''.

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