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.

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

References in corpus (4)

• Noncommutative Solitons
• A Short Survey of Noncommutative Geometry
• Gauge Theory on a Quantum Phase Space
• Matrix Models: Fermion Doubling vs. Anomaly

Cited by in corpus (6)

• On matrix models for anomalous dimensions of super Yang-Mills theory
• A note on the decay of noncommutative solitons
• Matrix Models
• Statistical mechanics for dilatations in N=4 super Yang--Mills theory
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
• Continuum limit(s) of BMN matrix model: Where is the (nonabelian) gauge group?