All Outputs (2)

Dirac Operators on Noncommutative Curved Spacetimes (2013)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2013). Dirac Operators on Noncommutative Curved Spacetimes. Symmetry, Integrability and Geometry: Methods and Applications, 9, https://doi.org/10.3842/SIGMA.2013.080

We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy.... Read More about Dirac Operators on Noncommutative Curved Spacetimes.

Module parallel transports in fuzzy gauge theory (2013)
Journal Article
Schenkel, A. (2014). Module parallel transports in fuzzy gauge theory. International Journal of Geometric Methods in Modern Physics, 11(03), Article 1450021. https://doi.org/10.1142/S0219887814500212

In this paper, we define and investigate a notion of parallel transport on finite projective modules over finite matrix algebras. Given a derivation-based differential calculus on the algebra and a connection on the module, we construct for every der... Read More about Module parallel transports in fuzzy gauge theory.