On the Equivalence of Noncommutative Models in Various Dimensions and Brane Condensation

Abstract

Here we construct a map from the algebra of fields in two-dimensional noncommutative of U(1) Yang-Mills fields interacting with Kaluza-Klein scalars to a D-dimensional one, as a solution in the two-dimensional model. This proves the equivalence of noncommutative models in various (even) dimensions. Physically this map describes condensation of D1-branes.

Comments: 7 pages, 1 eps figure, changes in the Title, Abstract, notations clarified, some comments and refs added