2013/07/31 by Hadi Godazgar, Mahdi Godazgar, Hermann Nicolai · 1 citation
Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Embedding #Equivalence (formal languages) #Extension (predicate logic) #Metric (unit) #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Supergravity #hep-th
paper · pdf · doi:10.1007/jhep02(2014)075
20 pages + appendices
arxiv created 2013/07/31 · openalex publication_date 2014/02/01 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Extending previous work on generalised geometry, we explicitly construct an E7(7)-valued vielbein in eleven dimensions that encompasses the would be scalar bosonic degrees of freedom after reduction to four dimensions of D = 11 supergravity, by identifying new “generalised vielbeine” in eleven dimensions associated with the dual 6-form potential and the dual graviton. By maintaining full on-shell equivalence with the original theory at every step our construction furnishes the non-linear ansatz for the dual (magnetic) 7-form flux for any non-trivial compactification of D = 11 supergravity, complementing the known non-linear ansätze for the metric and the 4-form flux. A preliminary analysis of the generalised vielbein postulate for the new vielbein components reveals tantalising hints of new structures beyond D = 11 supergravity and ordinary space-time covariancxe, and also points to the possible D = 11 origins of the embedding tensor. We discuss the extension of these results to E8(8).