2006/04/28 by Leonardo Castellani, Castellani, Leonardo
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0604213
8 pages, LaTeX
openalex publication_date 2006/04/28 · arxiv created 2006/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Introducing an extended Lie derivative along the dual of A, the three-form field of d=11 supergravity, the full diffeomorphism algebra of d=11 supergravity is presented. This algebra suggests a new formulation of the theory, where the three-form field A is replaced by bivector Bab, bispinor Bαβ, and spinor-vector ηaβ one-forms. Only the bivector one-form Bab is propagating, and carries the same degrees of freedom of the three-form in the usual formulation, its curl \Dcal[μ Babν] being related to the Fμνa b curl of the three-form. The other one-forms are auxiliary, and the transformation rules on all the fields close on the equations of motion of d=11 supergravity.