2006/06/30 by Fernando Izaurieta, Eduardo Rodríguez, P. Salgado +1 · 44 citations
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge theory #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Pure mathematics #hep-th
paper · pdf · doi:10.1140/epjc/s10052-008-0540-7
published in The European Physical Journal C 54(4), 675-684 (Springer Science+Business Media) · 11 pages, 1 figure. v3: updated notation and terminology; published version
arxiv created 2008/01/23 · openalex publication_date 2008/02/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A new Lagrangian realizing the symmetry of the M Algebra in eleven-dimensional space-time is presented. By means of the novel technique of Abelian Semigroup Expansion, a link between the M Algebra and the orthosymplectic algebra osp(32|1) is established, and an M Algebra-invariant symmetric tensor of rank six is computed. This symmetric invariant tensor is a key ingredient in the construction of the new Lagrangian. The gauge-invariant Lagrangian is displayed in an explicitly Lorentz-invariant way by means of a subspace separation method based on the extended Cartan homotopy formula.