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

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

2002-01-23

arxiv.org/abs/hep-th/0201183v3

Nucl.Phys. B641 (2002) 61-92

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, no figures, LaTeX format, revised sec. 5.1 and 5.2, minor modifications and references added

Scientific paper

10.1016/S0550-3213(02)00585-0

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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