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

Maxime Bagnoud·Luca Carlevaro·Adel Bilal
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Abstract

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.

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Maxime Bagnoud, Luca Carlevaro, Adel Bilal. 2002-06-12. Supermatrix models for M-theory based on osp(1|32,R). https://doi.org/10.1016/s0550-3213(02)00585-0

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