Extended Lie derivatives and a new formulation of D=11 supergravity

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dc.creatorCastellani, Leonardo
dc.date2006-04-28
dc.date2006-04-30
dc.date.accessioned2026-07-07T07:10:17Z
dc.date.available2026-07-07T07:10:17Z
dc.descriptionIntroducing 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 B^{ab}, bispinor B^{αβ}, and spinor-vector η^{aβ} one-forms. Only the bivector one-form B^{ab} is propagating, and carries the same degrees of freedom of the three-form in the usual formulation, its curl \Dcal_{[μ} B^{ab}_{ν]} being related to the F_{μνa 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.
dc.description8 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0604213
dc.identifierhttp://arxiv.org/abs/hep-th/0604213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111377
dc.subjectHigh Energy Physics - Theory
dc.titleExtended Lie derivatives and a new formulation of D=11 supergravity
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