Abstract
We investigate exceptional generalised diffeomorphisms based on E8(8) in a geometric setting. The transformations include gauge transformations for the dual gravity field. The surprising key result, which allows for a development of a tensor formalism, is that it is possible to define field-dependent transformations containing connection, which are covariant. We solve for the spin connection and construct a curvature tensor. A geometry for the Ehlers symmetry SL(n + 1) is sketched. Some related issues are discussed.
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Cederwall, M., Rosabal, J.A. E8 geometry. J. High Energ. Phys. 2015, 7 (2015). https://doi.org/10.1007/JHEP07(2015)007
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DOI: https://doi.org/10.1007/JHEP07(2015)007