An exceptional geometry for d=11 supergravity?
K. Koepsell, H. Nicolai, H. Samtleben
Abstract
We analyze the algebraic constraints of the generalized vielbein in SO(1,2) x SO(16) invariant d=11 supergravity, and show that the bosonic degrees of freedom of d=11 supergravity, which become the physical ones upon reduction to d=3, can be assembled into an E8-valued vielbein already in eleven dimensions. A crucial role in the construction is played by the maximal nilpotent commuting subalgebra of E8, of dimension 36, suggesting a partial unification of general coordinate and tensor gauge transformations.
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