2004/11/24 by Axel Kleinschmidt, Hermann Nicolai · 48 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Duality (order theory) #Geodesic #Geology #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Subalgebra #Supergravity #Supersymmetry #Type (biology) #hep-th
paper · pdf · doi:10.1016/j.physletb.2004.12.006
published in Physics Letters B 606(3-4), 391-402 (Elsevier BV) · 14 pages
arxiv created 2004/11/24 · openalex publication_date 2004/12/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We analyse the geodesic E10/K(E10) sigma-model in a level decomposition w.r.t. the A8xA1 subalgebra of E10, adapted to the bosonic sector of type IIB supergravity, whose SL(2,R) symmetry is identified with the A1 factor. The bosonic supergravity equations of motion, when restricted to zeroth and first order spatial gradients, are shown to match with the sigma-model equations of motion up to level four. Remarkably, the self-duality of the five-form field strength is implied by E10 and the matching.