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arXiv · hep-th/0006034

An exceptional geometry for d=11 supergravity?

K. Koepsell·H. Nicolai·H. Samtleben
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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 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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K. Koepsell, H. Nicolai, H. Samtleben. 2000-06-05. An exceptional geometry for d=11 supergravity?. https://doi.org/10.1088/0264-9381%2F17%2F18%2F308

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