Lie derivatives along antisymmetric tensors, and the M-theory superalgebra

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dc.creatorCastellani, Leonardo
dc.date2005-08-29
dc.date2005-08-31
dc.date.accessioned2026-07-07T04:18:32Z
dc.date.available2026-07-07T04:18:32Z
dc.descriptionFree differential algebras (FDA's) provide an algebraic setting for field theories with antisymmetric tensors. The "presentation" of FDA's generalizes the Cartan-Maurer equations of ordinary Lie algebras, by incorporating p-form potentials. An extended Lie derivative along antisymmetric tensor fields can be defined, and used to recover a Lie algebra dual to the FDA, that encodes all the symmetries of the theory including those gauged by the p-forms. The general method is applied to the FDA of D=11 supergravity: the resulting dual Lie superalgebra contains the M-theory supersymmetry anticommutators in presence of 2-branes.
dc.description11 pages, LaTeX. Added a missing commutator in the dual Lie algebra of Section 3.2
dc.identifierhttps://arxiv.org/abs/hep-th/0508213
dc.identifierhttp://arxiv.org/abs/hep-th/0508213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53220
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleLie derivatives along antisymmetric tensors, and the M-theory superalgebra
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