The large N limit of Exceptional Jordan Matrix Models and M, F theory
نویسنده
چکیده
The large N → ∞ limit of the Exceptional F4, E6 Jordan Matrix Models of Smolin-Ohwashi leads to novel Chern-Simons Membrane Lagrangians which are suitable candidates for a nonperturbative bosonic formulation of M Theory in D = 27 real, complex dimensions, respectively. Freudenthal algebras and triple Freudenthal products permits the construction of a novel E7 × SU(N) invariant Matrix model whose large N limit yields generalized nonlinear sigma models actions on 28 complexdimensional backgrounds associated with a 56 real-dim phase space realization of the Freudenthal algebra . We argue why the latter Matrix Model, in the large N limit, might be the proper arena for a bosonic formulation of F theory. To finalize we display generalized Dirac-NambuGoto membrane actions in terms of 3 × 3 × 3 cubic matrix entries that match the number of degrees of freedom of the 27-dim exceptional Jordan algebra J3[0].
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