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

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.

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

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Cited by in corpus (9)

• Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
• Higher dimensional geometries related to fuzzy odd-dimensional spheres
• Eleven-Dimensional Gauge Theory for the M Algebra as an Abelian Semigroup Expansion of osp(32|1)
• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)
• Curved-space classical solutions of a massive supermatrix model
• On eleven-dimensional Supergravity and Chern-Simons theory
• A quantization of topological M theory
• Matrix models and the gravitational interaction
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory