The large N limit of exceptional Jordan matrix models and M, F theory

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

Castro, Carlos

关键词: Jordan;    division algebras;    branes;    matrix models;    M, F theory;   

DOI  :  10.1016/j.geomphys.2007.03.007

来源: Elsevier

【 摘 要 】

The large N --> infinity limits of the exceptional F-4, E-6 Jordan matrix models of Smolin and Ohwashi lead to novel Chern-Simons membrane Lagrangians which are suitable candidates for providing a nonperturbative bosonic formulation of M theory in D = 27 real and complex dimensions, respectively. Freudenthal algebras and triple Freudenthal products permit the construction of a novel E-7 x SU(N) invariant matrix model whose large N limit yields generalized nonlinear sigma model actions on 28-complex-dimensional backgrounds associated with a 56-real-dimensional phase space realization of the Freudenthal algebra. We argue as to why the latter matrix model, in the large N limit, might be the proper arena for a bosonic formulation of F theory. Finally, we display generalized Dirac-Nambu-Goto membrane actions in terms of 3 x 3 x 3 cubic matrix entries that match the numbers of degrees of freedom of the 27-dimensional exceptional Jordan algebra J(3)[0]. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free