Dimensionally Reduced Yang-Mills Theories in Noncommutative Geometry

Abstract

We study a class of noncommutative geometries that give rise to dimensionally reduced Yang-Mills theories. The emerging geometries describe sets of copies of an even dimensional manifold. Similarities to the D-branes in string theory are discussed.

12 pages, Latex, minor corrections

References in corpus (2)

• Bound States Of Strings And $p$-Branes
• The Scalar Potential in Noncommutative Geometry

Cited by in corpus (5)

• Quantum Field Theory on Noncommutative Spaces
• Nonabelian gauge field dynamics on matrix D-branes
• Duality Symmetries and Noncommutative Geometry of String Spacetime
• Non-Abelian Gerbes from Strings on a Branched Space-Time
• Dynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first variation, and the equations of motion for D-branes --- with remarks on the non-Abelian Chern-Simons/Wess-Zumino term