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Journal Article

An exceptional geometry for d=11 supergravity?

MPS-Authors

Koepsell,  Kilian
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Koepsell, K., Nicolai, H., & Samtleben, H. (2000). An exceptional geometry for d=11 supergravity? Classical and Quantum Gravity, 17(18), 3689-3702. doi:10.1088/0264-9381/17/18/308.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5764-3
Abstract
We analyse the algebraic constraints of the generalized vielbein in SO(1,2)×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(8)-valued vielbein already in 11 dimensions. A crucial role in the construction is played by the maximal nilpotent commuting subalgebra of E8(8), of dimension 36, suggesting a partial unification of general coordinate and tensor gauge transformations.