3 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
The application of star-products to noncommutative geometry and gauge theory
A. Sykora
We develop a formalism to realize algebras defined by relations on function spaces. For this porpose we construct the Weyl-ordered star-product and present a method how to calculat…
Realization of algebras with the help of star-products
Andreas Sykora, Claudia Jambor
We present a closed formula for a family of star-products by replacing the partial derivatives in the Moyal-Weyl formula with commuting vector fields. We show how to reproduce alge…
NC Wilson lines and the inverse Seiberg-Witten map for nondegenerate star products
Wolfgang Behr, Andreas Sykora
Open Wilson lines are known to be the observables of noncommutative gauge theory with Moyal-Weyl star product. We generalize these objects to more general star products. As an appl…
Construction of Gauge Theories on Curved Noncommutative Spacetime
Wolfgang Behr, Andreas Sykora
We present a method where derivations of star-product algebras are used to build covariant derivatives for noncommutative gauge theory. We write down a noncommutative action by lin…