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Supermatrix models for M-theory based on osp(1|32,R)

Taking seriously the hypothesis that the full symmetry algebra of M-theory is osp(1|32,R), we derive the supersymmetry transformations for all fields that appear in 11- and 12-dimensional realizations and give the associated SUSY algebras. We study the background-independent osp(1|32,R) cubic matrix...

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Bibliographic Details
Published in:Nuclear physics. B 2002-10, Vol.B641, p.61-92
Main Authors: Bagnoud, Maxime, Carlevaro, Luca, Bilal, Adel
Format: Article
Language:English
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Summary:Taking seriously the hypothesis that the full symmetry algebra of M-theory is osp(1|32,R), we derive the supersymmetry transformations for all fields that appear in 11- and 12-dimensional realizations and give the associated SUSY algebras. We study the background-independent osp(1|32,R) cubic matrix model action expressed in terms of representations of the Lorentz groups SO(10,2) and SO(10,1). We explore further the 11-dimensional case and compute an effective action for the BFSS-like degrees of freedom. We find the usual BFSS action with additional terms incorporating couplings to transverse 5-branes, as well as a mass-term and an infinite tower of higher-order interactions.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(02)00585-0