Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-07
Mod.Phys.Lett. A16 (2001) 191-196
Physics
High Energy Physics
High Energy Physics - Theory
latex, 6 pages, 1 figure, talk given at the euroconference "Brane New World and Noncommutative Geometry", Villa Gualino, Torin
Scientific paper
10.1142/S0217732301003267
We briefly review the results of our paper hep-th/0009013: we study certain perturbative solutions of left-unilateral matrix equations. These are algebraic equations where the coefficients and the unknown are square matrices of the same order, or, more abstractly, elements of an associative, but possibly noncommutative algebra, and all coefficients are on the left. Recently such equations have appeared in a discussion of generalized Born-Infeld theories. In particular, two equations, their perturbative solutions and the relation between them are studied, applying a unified approach based on the generalized Bezout theorem for matrix polynomials.
Cerchiai Bianca Letizia
Zumino Bruno
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