Examples of derivation-based differential calculi related to noncommutative gauge theories

Abstract

Some derivation-based differential calculi which have been used to construct models of noncommutative gauge theories are presented and commented. Some comparisons between them are made.

22 pages, conference given at the "International Workshop in honour of Michel Dubois-Violette, Differential Geometry, Noncommutative Geometry, Homology and Fundamental Interactions". To appear in a special issue of International Journal of Geometric Methods in Modern Physics

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Cited by in corpus (6)

• Noncommutative epsilon-graded connections
• Noncommutative geometry, gauge theory and renormalization
• On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
• Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces
• Module parallel transports in fuzzy gauge theory
• Derivation-based Noncommutative Field Theories on $AF$ algebras