1997/09/30 by Stephan Melosch, Hermann Nicolai · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Hidden sector #Homogeneous space #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Supergravity #Supersymmetry #Supersymmetry breaking #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)01305-1
published as Phys.Lett. B416 (1998) 91-100 · 14 pages, LATEX
arxiv created 1997/09/30 · openalex publication_date 1998/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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)× 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 AMNP in accordance with the hidden symmetries of the dimensionally reduced theory. Although E8 is not a symmetry of the theory, the bosonic sector exhibits a remarkable E8 structure, hinting at the existence of a novel type of ``exceptional geometry''.