2015/04/19 by Martin Cederwall, Cederwall, Martin, J. A. Rosabal +1
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1504.04843
plain tex, 24 pp.; v2: refs. added, a sign misprint corrected (eq. 2.7); v3: minor changes, refs. added
openalex publication_date 2015/04/19 · arxiv created 2015/05/31 · arxiv updated 2015/06/02 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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.