An exceptional geometry for d=11 supergravity?

Details An exceptional geometry for d=11 supergravity? An exceptional geometry for d=11 supergravity?

2000-06-05

arxiv.org/abs/hep-th/0006034v1

Class.Quant.Grav.17:3689-3702,2000

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX2e

Scientific paper

10.1088/0264-9381/17/18/308

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 E_8-valued vielbein already in eleven dimensions. A crucial role in the construction is played by the maximal nilpotent commuting subalgebra of E_8, of dimension 36, suggesting a partial unification of general coordinate and tensor gauge transformations.

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