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New Canonical Variables for d=11 Supergravity | | Stephan Melosch
; Hermann Nicolai
; | | Date: |
30 Sep 1997 | | Journal: | Phys.Lett. B416 (1998) 91-100 | | Subject: | hep-th | | Abstract: | 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 $SO(1,2) imes SO(16)$ 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’’. | | Source: | arXiv, hep-th/9709227 | | Services: | Forum | Review | PDF | Favorites | |
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