Eleven-dimensional gauge theory for the \(M\)-algebra as an abelian semigroup expansion of \(\mathfrak{osp} ( 32 | 1 )\)
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Publication:982360
DOI10.1140/EPJC/S10052-008-0540-7zbMATH Open1189.81199arXivhep-th/0606225OpenAlexW1912792887MaRDI QIDQ982360
Author name not available (Why is that?)
Publication date: 6 July 2010
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/hep-th/0606225
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